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The result is a risk return tradeoff curve known as the Efficient Frontier (yellow line in the graph below). Enter portfolio weights in cells E9:J9 and this model instantly runs a simulation based on 1,000 trials stored in the DISTs in cells D5:J5. The distribution of return is displayed in the interactive histogram (Blitzogram) on the right with the risk and return displayed by the green dot on the left. The blue diamonds denote the risks and returns of the pure assets. The Blitzometer on the right displays a growth target (red/green boundary), and percentiles of the portfolio enteed by the user. The slide bar on the left may be used to cycle through all 1000 trials for a given portfolio. The Buttons on the left load minimum risk portfolios of given return targets. <%&TL . 3 @5!]B.` `  &$~~  <&CC@/K],@&``&9  $<4%<~~  <(&CC@/k],@(&`&9 $<6%<~~  <&CC@/ ],@& $aP&9 $<8%<~~  <&CC@/ k!],@&Ta&9 $<10%<>@GGd7 yK www.ProbiliTech.comyK Phttp://www.probilitech.com/yX;H,]ą'c Sheet1ggD  [   dMbP?_*+%h&?'?(?)?"h??&U  h h  h h h hH' 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T DD @ LLL!< oDd@D\@@@Df@D\@@@@@@A@@A@A@D@@L!< oDd@D\@@@Df@D\@@@@@@A@@A@A@D@@!Lq= ף< U DD @!Lq= ף< U DD @ LLLGz׿ oDe@D\@@@Df@D\@@@@@@A@@A@A@D@@LGz׿ oDe@D\@@@Df@D\@@@@@@A@@A@A@D@@!LZd;Oտ F DD @!LZd;Oտ F DD @ LLL'vO oDf@D\@@@Df@D\@@@@@@A@@A@A@D@@L'vO oDf@D\@@@Df@D\@@@@@@A@@A@A@D@@!LVjzt v DD @!LVjzt G DD @ LLLL>$0JJJJJJJJJ0 w  @w @>@ 7 Sheet3ggD ThisWorkbook __SRP_a,\__SRP_b6Sheet19  !"#$%&'()*+-./01234578:;<=>?@ABCDEFGHJKLMNOPQRSTUVWXZ[\]^_`abcdefghjklmnopqrstuvwxyz{|}~\8 U#<ByϗFّCCk/DxّCCk/DByϗMEPSLSS6" <<N0{00020819-0000-0000-C000-000000000046} `k@ i `i  $``|k %( %X %&$lxR`@ "1lxR(H@l R((@\ lx@0L 7@H< (@`, lxR@x <@ #@ R(Xh0@V;L$*\Rffff*1V4ca34e88$*\Rffff*1U4ca34e88*\R0*#144 "   8 2H :+  "   x2 ThisWorkbook.Names.Add is_active_string, False, Sheet1.Range("on_off_indicator") = "OFF"$ vag0The model has been modified and cannot be saved.A@"obi'k oA&oAttribute VB_Name = "ThisWorkbook" Bas0{00020P819-0C$0046} |GlobalSpacFalse dCreatablPredeclaIdTru BExposeTemplateDerivBustomizD2Option /licit` P"& Sub _BeforeSave(ByVal AsUI As Boolean, Cancel ) '  .s.Add is_act \_sng, _Sheet1.Range("on_off_indicator")OFF1@If Not-IsAuthentic() T@$ MsgBox e mod-ha@s beenifi@Rand cannbe s9?d.D;= SE@ If=AQUOpen(IlPC`_s?rU I19a$4 ``  I  W D ?+'''<:lN\\ 6\< D$ \<<   $ 44PrU @, ` #$A ` n'C+#xME (SLSS<N0{00020820-0000-0000-C000-000000000046}@(%H@0V;LxAttribute VB_Name = "She@et1" Bast0{00020820- C$0046} |Global!SpacFalse dCreatablPre declaIdTru BExposeTemplateDeriv$Bustom izD2'#xME (SLSS<N0{00020Sheet2 ISheet3YModule1c__SRP_6iJ820-0000-0000-C000-000000000046}@(%H@0V;LxAttribute VB_Name = "She@et2" Bast0{00020820- C$0046} |Global!SpacFalse dCreatablPre declaIdTru BExposeTemplateDeriv$Bustom izD2'튃#xME (SLSS<N0{00020820-0000-0000-C000-000000000046}@(%H@0V;LxAttribute VB_Name = "She@et3" Bast0{00020820- C$0046} |Global!SpacFalse dCreatablPre declaIdTru BExposeTemplateDeriv$Bustom izD2rU~| //+0 0)0Y001!1!2`," x$ x x* 'X%:h%x$ x x!x $ xx(x'X%:h%$ xxGh%H%f(%f%x $ x  x(x'X%:h %$ x(?j?j?jjEightj?N55jjja5 5 j35Ten55@44444"4tj 0@`Pk  L`xk  N`k  P` &@.H%x" x$ x xM,$ x`," x$ x x* 'X%:h%x$ x x!x $ xx(x'X%:h%$ xxGh%H%f(%f%x $ x  x(x'X%:h %$ xx" x$ x x,$ x`," x$ x x* 'X%:h %x$ x x!x $ xx(x'X%:h%$ xxGh%H%f(%f%x $ x  x(x'X%:h %$ xx" x$ x x,$ x0  \28<BFs @x SI@rU $__SRP_7 MakeDistGetDist __SRP_2 9__SRP_3`$`$`$`n " rU $8`!aq Unnamed---double/,`q!9Q/(`!/(`9!*\R5*#9*\R0*#13*\R0*#0*\R5*#6*\R5*#4*\R5*#5*\R1*#62$*\Rffff*1U4ca34e88$*\Rffff*1V4ca34e88*\R1*#116*\R1*#280*\R1*#281*\R1*#337*\R1*#10d*\R1*#fc*\R0*#1a*\R0*#19*\R0*#f*\R0*#e*\R0*#1*\R0*#14*\R0*#17( xME$6 LLLL<(<,<0<4<8<<< 0@`Pk  L`xk  N`k  P` &@.H% 28<BF@x @8h @PX 0 @hH @8 @( @ @ @ 28<BF)@x @h @X @H @8 Ii@(( Jk@@ Mz@X Iz@ HS0H28<BFs @x SI@`h 8:@xX ts@H @8 @( T@ mS@ I@ .x V;L$*\Rffff*1T4ca34e88*\R1*#337*\R1*#10d*\R1*#fc*\R1*#220*\R1*#7c*\R1*#11*\R1*#10d*\R1*#fc5"   .0 "` *p !(.G( " "    .@ "p * !(.G( " "  ( 0 .P " * !(.G( "(" 0 8 @ .`   . (8 H Four_Percent Macro' Macro recorded 7/18/2009 by Sam Savage 2(4Four6 2B@ 8B@:E9$<B@H  B@ FDHJ 8B@>E15$<B@H 2(4o@ Four_Percent Macro' Macro recorded 7/18/2009 by Sam Savage 2(4Six6 2B@ 8B@:E9$<B@H  B@ FDHJ 8B@>E15$<B@H 2(4o Four_Percent Macro' Macro recorded 7/18/2009 by Sam Savage 2(4Eight6 2B@ 8B@:E9$<B@H  B@ FDHJ 8B@>E15$<B@H 2(4o Four_Percent Macro' Macro recorded 7/18/2009 by Sam Savage 2(4Ten6 2B@ 8B@:E9$<B@H  B@ FDHJ 8B@>E15$<B@H 2(4oAttribute VB_Name = "Module1" Sub Four_Percent(0) ' P M0acro* recorded 7/18/2009 by Samvage Application.Scr@eenUpdngFals'+ /GoTo Reference8:="'SelecUCopykRange("E9").#PasteSp@ecial :=xlValues, OperY None, SkipBlanks _6:=a, TransposR jH15HD TruEHnd SixJ/Nj 4 8@H P `p     0 @:P, B,0Pp      ( 0@ P 79r xMEd@ (L L> LLL "LLLL`<`4` ` ,`"`(`$x$`& `(0 mo i`* `, `2 f ' <` ` x  =I> '%Returns DIST of averages of arguments~' 15` or A  Ra%  |% @ '%`' B ` `k  ]I>  |$Returns number of trials in the DIST 15`\ Y('  X % T@ '% P` %`L F` 2 k }I>  Returns name of the DIST 15`\ '  X8% TX$% Px% J`   I> E+00!Returns minimum value in the DIST 15` " @="% `% '%` N`(   I> !Returns maximum value in the DIST o 15` j ` c% % %` R` hp k I> >Returns data storage type of the DIST (single, double, binary)  15`\  Xh% T% P % V`Hp ( I> $ Returns origin data for the DIST 15`  '% '%  % Z `p 0 xI PI\ #Returns k-th percentile of the Dist 15`^  `` @` $ ( `"hk   `o `j ˜TB˜VB˜Z(Cʘ`xBʐdHʐjH ˜nB th @˜x*B (hP8 x(Hp@` $R %@Bl  @< " double`b( h H  0`(Hx@, f@ @ @ @ @  @ HhXH`@l pHl2@d @T @D @(4 @0 @, @@ @ @ p`H(@Rl 8 @x@ @0 @ @ @ @ @ @  x  H `  X@pH!`l  XZ@( @ @ @! @ @ @ @ @ '@  8L@` ` L@p HP@ @pP@ 0xvTV^@ @ @ @( @ PpTx z@ `@  @ @p   8 @H  ` @! 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" 8" H" `"p"x"" ""@W" ##,$#4'H#.$#,$#4'#.$$H$P$ X$ h$ x$ $$$$$$% %8%,E@%p%%%% %%% %%% %#&&0& 8&#@&X&#h&&& &#&&& & &;& ' &;(' P' h' x' ''''' ''@W( @(P(,$X(4'(.$((( ) ) )0)@)H)h)))) ))) ))).) * (*@_8* x*****$**+ +0+#H+`+x+"3+ + +#+ +,, ,(, 0,8,@,H, `, x,,,,,G,,,,,,--  - (-8-@-H- P- `-p-x-k-.  . B  (. 0.8.@.P.  X. h... ...  .. . /0/ P/ `/ h/ p/ / B / ////  / /// / 00  (0&80 /X0 )x0 70 0 0 0 0 0 B 0 001  1 1@1H1 P1 X1`1  1&1 /1 )141 2 2 2 (2 B  02 82@2H2X2  `2 p222 222  22 3  383 X3 h3 p3 x3 3 B  3 3333  3 333 444  04@4 `4 44 4 4 4 4 4 B 4 455  5 (5H5P5 X5 `5h5  5&5 /5 )545 6 6  6 06 B  86 @6H6P6  `6 p666 666  66 7  787 X7h7p7 x77 7 7 7 7 27 7 87 08 88 0X8 8 8 8 (8 8 8 &9 @89 x9 9 9 9 &9 9 9 : 4: @: 8H: : : 2: : ; ; &; @; H; &h; D; ; ; ; < &< @< H< `< Fh< < f<  = (= 2H= = = = *= = = &> 8> (X> P> > > > > (? @? H? `? Fh? ? f?  @ (@ 4H@ @ @ @ &@ @ @ &A 0A (PA RxA A A A A &B 8B @B XBB  `B hB  B BBB B BB B BCCC 0C@CHC PC`C C C C C "C  HC0C8fE G B G G G m(G+HG `G hGxG- DstCreate/Dst 256 bins Base64 multitype v3.0' M80]e]]-1]-1]$ (]$P]$]$x]$ Avg= ]$ Min=]$ Max=@]$ Count=HPerc]]p rec]$ \ l ^  n ` b 6 2] \ l ^  n  @]h@]*H double Unnamed---] ]8Ph]](]@Xp]]$Error:Demo is inactive.'zzk $singleKT' Single 'doubleKT' Double 'binaryKT' Binary 'Sh' Custom 'nH ~'' Sip is Range or Array |$Range'     ,!"#$%&'()*+-./012345678!<L>?@ABCDEFGHIJK;MNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstvwxyz{|}~ |!! |!! |!!''d |!!'k' ' |$  e' Sip is Array |' | |  ' |' |'d Y('zzk |' Z' X''      $'d  $'k`   G 'j   G 'j   '   Z''k  '    ' ^$ 0.00000000E+000$ ^$' ^$ 0.00000000E+000$ ^$' ^$ 0.00000000E+000$ ^$'' concatenate array characters]8]p]'       $'d  $'k       T 'dx T'kh $+$ $ +$ $@ +$@ +'   $ $t' H'  + k  '  +  $+$ $ +$ $@ +$@ +'   $ $t' k e      $'dP  $'k0        T ' T 'd     T' '6    T'kdx''k` $+$ $ +$ $@ +$@ +$+$ $ +$ $@ +$@ +'   $ $t' '  + kH  '  +  '  +  $+$ $ +$ $@ +$@ +$+$ $ +$ $@ +$@ +'x   $ $t' (k  e''     ' '   $'d  $'k   'kX  V  '  +''k $+$ $ +$ $@ +$@ +'@   $ $t'  '  + k    V  '   '  +k( $+$ $ +$ $@ +$@ +'X   $ $t'  k d k ' 'zz   -Error in data passed to EncodeString routine. Trial   (  based.)'z J Err.Raise Number:=1005,' Description:="Error in data passed to EncodeString routine." & vbCrLf &' "Trial " & Trials & " (" & TrialsStart & " based.)" & vbCrLf &' "Click 'End' to abort processing."z@8A@  '  d LAn unidentified error has occurred. Lookup table arrays have been recreated. Try DstCreate again.'zzx MsgBox "An unidentified error has occurred. Lookup table arrays have been recreated."' & vbCrLf & "Try DstCreate again."kiA This function can only be called from a formula in the worksheet]] ]8Ph]]]0]H`]x]]D]  $Error:Demo is inactive.'zpkh` ' $ Gj (   %Gj !!Gj %. %!' @ this means there is no node value, i.e. the DataString is empty'kH@type !%!' $singleKT'doubleKT'binaryKT'S'navg !%!'min !%!'max !%!'count !%!'    ' X ''']`  ]    ]0 H ` x ]  ]  ]  '"'$'&'( X'* Z',''     '.   '   Gyj  $$0 x $v +  $$ +$ $ +$ @$ +'kx  ' $'  T   +d  T   +k $  $   'k  $ '  $', '$'( $'* '"'& $ , e $', '$'( $ ,e ( '( $ * e $'* '"'& $ *e & '&kX    $$  ( '  $+   "$  & '  "+ e   '.   '   Gyj  $$0 x $v + $$ +$ $ +$ @$ +$$ +$ $ +$ @$ +'k  ' $'  ' $'  T   T   +d     T '   T'    +k $  $   'kx  $ '  $', '$'( $'* '"'& $ , e $', '$'( $ ,e ( '( $ * e $'* '"'& $ *e & '&k(    $$  ( '  $+   "$  & '  "+ e'    '.@   '   Gyj  $$0 x $v + $$ +$ $ +$ @$ +'k  '   ' $'k  V   +dx +kX  V'k8 d k    ( &    '  ^$ 0.00000000E+000$ ^$'   '   ( &   ( & 'd0    ( &  'k   $ ,  + $ *e  +d $  + $   + $  e  +kk kkkd    + kp] '2X 2!4!6G'2j0  2 'd $'kz Y('z.A@  '  d LAn unidentified error has occurred. Lookup table arrays have been recreated. Try Dst again. 8 !.xls$:A@"ki8 ] ] ]D ( ]H $Error:Demo is inactive.'<zpkh@` >' $ G@j (   %G@j !!G@j %.avg !%!' X'<z@ Y('<ix` ] ] ]D( H ]h $Error:Demo is inactive.'BzkD >' $ GDj (   %GDj !!GDj %.count !%!' X 'Bz8D0 Y('Bi ]] ]D@`$Error:Demo is inactive.'FzkH >' $ GHj (   %GHj !!GHj %.name !%!'Fz H Y('Fi ]](]DHh]$Error:Demo is inactive.'Jzh k` LX >' $ GLj (   %GLj !!GLj %.min !%!' X'Jz L Y('Jip ]0]H]Dh]$Error:Demo is inactive.'Nz k P >' $ GPj (   %GPj !!GPj %.max !%!' X'Nz0 P( Y('Ni ]p]]D$Error:Demo is inactive.'Rz k T >' $ GTj (   %GTj !!GTj %.type !%!'Rz T Y('Ri ]x]]D$Error:Demo is inactive.'Vzh k` XX >' $ GXj (   %GXj !!GXj %.origin !%. 'Vd !'VkpzhX` Y('ViH+Function DstVar(DIST As Variant) As Variant2 Dim DataString As String, DataArray As Variant If Not IsActive() Then* DstVar = "Error:Demo is inactive." Exit Function End If" On Error GoTo GDVariance_Error DataString = DIST DataArray = Dst(DataString)9 DstVar = Application.WorksheetFunction.Var(DataArray) Exit FunctionGDVariance_Error: DstVar = CVErr(xlErrValue) End Function-Function DstStDev(DIST As Variant) As Variant2 Dim DataString As String, DataArray As Variant If Not IsActive() Then, DstStDev = "Error:Demo is inactive." Exit Function End If On Error GoTo GDStDev_Error DataString = DIST DataArray = Dst(DataString)= DstStDev = Application.WorksheetFunction.StDev(DataArray) Exit FunctionGDStDev_Error: DstStDev = CVErr(xlErrValue) End Function?Function DstCovar(DIST As Variant, Dist2 As Variant) As Variant` Dim DataString As String, DataString2 As String, DataArray As Variant, DataArray2 As Variant If Not IsActive() Then, DstCovar = "Error:Demo is inactive." Exit Function End If$ On Error GoTo GDCovariance_Error DataString = DIST DataArray = Dst(DataString) DataString2 = Dist2! DataArray2 = Dst(DataString2)I DstCovar = Application.WorksheetFunction.Covar(DataArray, DataArray2) Exit FunctionGDCovariance_Error:! DstCovar = CVErr(xlErrValue) End Function@Function DstCorrel(DIST As Variant, Dist2 As Variant) As Variant` Dim DataString As String, DataString2 As String, DataArray As Variant, DataArray2 As Variant If Not IsActive() Then- DstCorrel = "Error:Demo is inactive." Exit Function End If On Error GoTo GDCorrel_Error DataString = DIST DataArray = Dst(DataString) DataString2 = Dist2! DataArray2 = Dst(DataString2)K DstCorrel = Application.WorksheetFunction.Correl(DataArray, DataArray2) Exit FunctionGDCorrel_Error: DstCorrel = CVErr(xlErrValue) End Function]$Error:Demo is inactive.'ZzH=k@=b8= '^ \'` ^$  `$d Y('Zz<k< ` `  Y('Zz<k< ^$'  ` 2!f%\'Zzx<bp< Y('ZiX<B 64 safe characters for encoding use. As used for standard Base64.&JlABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/D@'t"0dp?@56789:;<=>  !"#$%&'()*+,-./01234DP'vo8(]h8 l %j!n 2%h' G'j 'i88Attribute VB_Name = "MakeDistGet0" ' DstCreate/$ 256 bins Base64 multitype v3.0^ Option Explic it b 1 Const BD=OtsPerPChar8MinStartL20ax-Pubx f@Length?3H2 um16 CountG TyAvgHTexY" =? iaxaxMyExtraO.5 7 =He0aderO+ 3 * (M+ NQ) +@]Mp_ + GO&TrialsLoci~+Dim#de_Values As Va@nt, pDecoQE#F(loo4Fu nc(Sip, al S-%AS@ng1"Unn@d---", BCG Param do e OrigdinK "):  -.Descriu~Returza DIST c}d from the a0rrayX Pr@ocData! Invoke_%! \n15 !23spElse!JP4XCust@D.=Ss1X= F@a' pA Range @Y~A!I0%Qa!Y) "r"%D:=au`\.8umn&spk >.R|owK*K ip s % TruM-Qu)=gVsHC> vb{BB 6LBd, 2849 U81) - IrzQ1 ?Y  Fo0!CVD(xlPBK8 oD iA@"c 3ORr5g4gl= O౱M GoTo orHandlerF. 5&* A(, c9>nPyW< pk =37 >+axbcNBs_tET %vg /:1&-3P6WRight(Space(& @%mat( , "D0.0E+"|),ȼP r qџϒ x" Then \o-^:+>'wncaten array char@acters!im BytesIn(1 To 6) As Int eger, Out8  C A8Error Code12ErmediAbValueDouble$_1= 0 C]d8] StartAB8End UseCols p  *= A(P@eriod,) Els1ALCMnd IfK(f - 1)0T*BinNum@>_!@^(((H#- Min6) / Di f) * @s) + 1 6A S2Gw>= 3U2;)3 ) x\ 4 a2(Mod 4916 \ t16 3  11`i* 4 \ 69=rGk*_7On o Go {Recre`hB%aai'_€paWv_BCs;*+iB,VNepxt i*+Handler/~ a3a<(nEgNbARFF$b`ug~zzs!/?H`&U= `o` U`_/b_ ^^.s..r.`$ ?.r>.I&TXl2\P ";_l$ _l5b<0_lZo^Q?_lO5_l0 AbX>h_ab@y= # {s 1 itkY~2_p?= x x" xo  |noY21 1(N B  H"@Ur"!DW06 RvFQnLQJ*?f?R?`? RdO5rfTOP\` @ap7aeOap`lqOa?}`bO3Jb8QbbOb3cc o5A 6Rb#OCo =1c Ot)&Q#2F'  YByteCount) = Cod e2 Next Trial"sPIf  <> 0 Then>v@sOut(&1In\ *4R2)(*Mod 4) * 1h6 +rsC&\;D3 D+D16E4D&\ 6:=7!58υZpB= p߁+ p(p7 p"p5p8Y 8ArrayErXror0\On  GoTo Recreate For i1 8KDataStri,ng &_V`aluesNi)@r1)BiK(+Handler End If!ElseDi@stType#3ጶChar#CCurrentB|it>CStaroDՀ"B+ 1 "9%* H3UsylsP%eA(Period,?,$0, # --aa@/g.#I:a` *+@5s"Az%_g Ak&FEA a nt& >= V Ȗ๡ϖ\    #^ߘeJeߙߙa Qߚc/3*1w9`W= (o m*2AG;9?  Y;- w2 )6Q b&??eqO? P&ߓ".ߓ?e2=4_:_:`_:B: :`υF9d9%_9υ "9 8υO"υ`o" _8rυ̅s*!? 5 "H"s X" (#&ba@.) ' .Raise Number:=1005, 1Descrip1 :=O O g O C 6q_  _ X P9Click 'E'Qabo`p@rocess.L[dSetupR2o3fJ `F vb;9enCA^.validateO@nParse3FeA? Loa~dZ @Child5s.Length!1]Set xx(0)F&^me Nex!= .. |# -0'9m gsre;no nQ'ui.e.iqety ?u B?6?cuF^s.getNamedI@tem("t`{")-Select Ca1Z21Decqdms%QӋAE? `WIn' @q 6> F#ic.  @)inxr[m B+6 ^FP\pf(W) > ]#1C@OP.:}For% x }sg1 >= 3c' 9aRecre`zshT)A i o PV1=r7@ P> or_a?i) _3_+s(Asc(hMidH,@J)) - DFloor) -k i 1ozrDRL1) * 4 + 2) \ 1-q9B1P= (18ModP1632@46 4M 8$?yoQ=#'0ƃs? O )7Bins_8A(<#(=&5,(() / w+vE@S" AP58oAx/ a 7(Value = @NewAvg+ A(Trials, 1) 1 If x1 0ThenFdMaxxInR3Num64]s]Count+1in2i\"BB0Else } >~ \ K{;$0='(0 j+ < MrL?}¿Y.}L&0HLnd IfK,Next (`Sv-Cr) * axs A(@J ?+ ( =+$!+1!in 'rDistTyp2For*o^u`|ByteA# >= 68ArrayError= 0AaOn  GoTo Recreadtes2Si o 8sA aC@FKa> Len(DataString) Exit !sIn(i)_Decode_B7s(ATscBd,xt! B A - Floor) -g! i2G8DA_b4Ouxt(1!* 4 + 2)` \ 16|= (hModr16 3 4 W 46 4_ =v 56 ;`0 ea#7 b   8 F o9fEVn#5C`-1/ / vosYde2pbrins0 A BEov@:"lVV(39 v_ + Diffde1 / B2(g2/2Q ^ 2+o aj "/?lue + (MaxVa- A(NumxTrial, 1)) * CountP ^ = R RNewAv2g= inin/N)ElseIf DistType#3 Then%CurrenPtBit0 F(or Is 1 |Tos 5Byte >= 3 And /?ArrayError = FOn  GoHRecreates2Kcia4 Next0 + 1 < > Len(DataString); Ex@V AsIn(i)_ A(Decode_s(Asc(Mid,@0'- Floor) - ;aAMd/` No nZeroCG> 60Զ/Right(Space`gth) & `mat(, ԙ"0.0$E+")umd /DAverageDif!z-zwOpxQ ?L O) < @ O)K\`900 pSrN IDim IsbFunc As Booleae=:ue#Resume#Not Application.Caller.HaLZ= Fa`ˬLbterN-pi +?DsA+D?A 4  :SCV(xlP+PlSetupC#ͳ V<MsgBox "An unidified e has occAd. Lookup tabl(e asve been rd."{& vbCrLfp~"Try again.",Excla0#, ReplсThisWorkb@.Name, ".xls9""e7 -,tion DstAvgVal(XmlDist) Attributet.VB_D@escrip= "Returns DIST of averagesrguments"Pro cDataYInvoke_Func Y \n15%9 Dim Str As VarianBtxDocNew DOM }30"Node a$IXML$, xu | ;1ing If Not IsActive() Then [jError:Demo is ina.sExit "End IfOn A$ GoTo_ = VaTypef) <> vb5B.Z.validateOnParse6FalseFD Load?[G)Childis.LePngthA+1)Spet x& (0[u= .üs.getNamedItem("avg").uD9FCDbLl(C Pr  j:LV@q(xl@ Numb erOfTls[K n x: U the|`U$O zyDzasz`z5 _# Pz)@"@6{{{+ ||$w !Bg}`m .}]  u~} tt?7„count CLng QO o``u/}"}n@?@sQ>?|V$?|?|<>#]A;>'@JcS%?=z1_`<zzz<@;z_zp_zo _;?zb_;en6zs::ʼn:~ypq/: z*:?x7v70C?6 wP!Mi~nz66minimum pVuevo7o7 o7o7o7o76Hl7a AV`9 9`/9/9/9/9.9O90O9rc K9?o94Jo9rsf9/#999?399t-9p=@o;b; ;;1;Max;;;ax;};; ;;;;; A&s IXMLDOMAttribu te Dim Str As ingdIf Not IsActive() Then6~stMaxVal = "Error:Demo i s inaf."\Exit Fu noEEnd If"On I GoTo DaF_"Xml= DistVarType( ) <> vbւ\)!xDoc.validateOnParsemFalsLoad71 ChildNodes.Len(gthV1#SSe8t xM &(0)e=.C~s.getNamedItem("max").quvCDbl(C Pr jN:!F*CV@q(|xl@ EtAz 2.VB_Description"Returns @qa stor age t@ of the DI ST (sle@, doubb1ry)@Pr@ocDataInvoke_) \n15D=ևiantAmNew 倝ument30x , x&F*C*!@1vvv vv- C_?veA{:v @b ust3u eY 2zuXu7r?Gqa qi qOriginA7q8rosforqmn n ?nf?n@?nf?n$C.? ? nn# n_7rw?7r!P37enr/67ro3?37fwr2QUrr+"dkxaIsQhd{os AaE}x=w3>S`?>w')w0Y("r0k)3 ' ? 07!q4, QArray!j'A1qja2r 2GD ce2 ~ =bp `xst(W & A@pplica.Worksheet.  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H? @ 0@ P@ h@ jx@ "@ A A (0A XA hA A (A :A 4B @B `B FxB *B 0B  C @C PC &`C C $C 0C DC 88D $pD D 6D ,D XE *pE E E E <E F0F RxF @F ,G @G D`G :G `G 2HH $H H H H I I (I 8I I *I (J &8J `J pJ &J J J J K * K 4PK K K &K $K L (L 8L 6HL L $L (L *L 2M HM 6`M "M .M 8M $(N PN *hN 2N N @N <(O FhO :O 6O D(P $pP HP 4P :Q DXQ 0Q $Q 6Q >0R $pR R @R ,R (S HS hS S S 8S >S  T @T HT `T dhT `T @0U pU 0xU U lU b V 0V V "V "V 0W @W `W pW W W WW ,X X X Y HY XY hY Y Y jY Z 0Z (@Z hZ xZ Z (Z :Z 0[ H[ h[ F[ *[ ,[ (\ H\ X\ &h\ \ $\ 0\ D\ 4@] $x] ] 6] ,] X ^ *x^ ^ ^ ^ <^ F8_ R_ <_ ,` H` Dh` :` `` 2Pa $a a a a b  b 0b @b b *b (c &8c `c pc &c c c c d * d 0Pd d d &d $d e  e 0e 4@e xe $e (e *e 2f @f 6Xf "f .f 4f $ g Hg *`g 2g g @g < h F`h :h 6h D i $hi Hi 4i :j @Pj 0j $j 6j > k $`k k <k ,k l 8l Xl pl l 8l :l m (m 0m Hm bPm lm >(n hn 4pn n ^n Bo 0Xo o "o "o .o p 0p @p Pp Xp xp fp *q 0q Pq f`q *q q r (r P8r r r (r r r r (s :@s .s s s Fs 80t *ht t t t @t u &(u :Pu .u u u ,u "(v TPv &v v v w *w @w `w pw 0w w w *w x &(x Px px x x *x .x y 8y &Py $xy y y y y y z & z (Hz pz ,z z *z .{ 0{ P{ &h{ .{ { { { 8{ 8(| `| x| | B  | N| <} @} <H} },}&}} @}~~(~0~8~ @~8H~ ~~~~~:~ ~    D( px  d H h p "x Ѐ  $08 "X  0(08 @ P` h p  Ȃ    08hp x &.(  $( P0p  Ȅ؄  "  ( HX p  ؅   0@X "x@І  @X pV  (0 8 HX `px  " Ј 8 8H ` x   @ȉ  &8.`PȊ $( Pp @  (0 8 HX ` px  6  B  N <`  < ,& H @X`h 8 : X hpx  D Џ؏0 8 d@  Ȑ А "ؐ 0 HP$X " Б 08hpx    Вؒ ( 0 8P0h  &.(8@$H p0ȔД ؔ   " @H hx  Е    @Ph "Ȗ@ 0PhV   ( 8HPX ` "h  Ș8 ( @ Xp x @ ؙ &.0`P $ @X`h@ Л؛    0 2P    B  XМ B( p rx & @ @PX`   8, :, @PX ` ^h ȟ   "   (0 H JP   Рؠ  $*@ H ZP (  R0 X hp x ,  "آ ;  085@4`<'x  У  < 08P h x  <' "  ;H hx54<'  ( 0 *8 rh 8  B ~ `h$ 8 P hx 0 @HP 0h := "/8P /h 8 Ы . (8 @ P` h p x  "7 Ь   08@ ,NX   Э "/(@@kX 8Ȯ @j Xh p   8  B  .8 @ `ذ <8 x ^ t X 0x  " "ز , 0 P ` p x   $г $  R( : R X Xp ȵ е H v0 H J J@  B B R( R ظ   H8 , " `ع 8 8H  ,  к 0 N Fh  Fл  8 X 0p N F 8 FX   0 N( Fx  F ( H h 0 N F H Fh   0 N8 F  F 8 X x 0 N F X Fx    6 X p x    $     ( H <P 4 $    x Change History 2008-10-18 dge - 11th fix' - Added TrialNumber parameter to Dst() 2008-10-12 dge - XML DIST beta 10th fix.xla AQ - Fixed Divide by zero error in Dst() when the DIST consists of only two values. 2008-10-11 dgeec - XML DIST beta 9th fix.xla n  - Added DstOrigin() \ 2008-10-09 dge - XML DIST beta 8th fix.xlaH* - Added error handling to DstPercentile() 2008-10-08 dge - XML_DIST_beta_7th_fix.xla" - 2nd bug fix for Dst() from Ron. 2008-10-06 dge ' XML_DIST_Beta_5th_fix.RE.xla- - Installed bug fix for Dst() from Ron Roth. 2008-09-30 dge - 5th fix.I - Removed Help form, Scatterplot, and some internal Dists to save space.+ - Removed a couple of unused code modules.Q - Fixed color picker form to show white text when color background is very dark. 2008-09-25 dge - 4th fix.Y - Fixed Dst to work correctly when the XML tag contains no data: e.g.  2008-09-12 dge - XML DIST beta 3rd fix.xlaP - Fixed Thaw to work correctly when thawing a comment after an array is thawed. 2008-09-10 dge/ - Fixed return types of some DstX() functions. 2008-09-09 dge! - Fixed to use XML format dists.# - Removed DstExport and DstImport. 2008-09-03 dge - DIST beta.xla2 - Added DstExport and DstImport to DIST category. 2008-09-02 dge - v 1.1.7b beta dge" - started adding cumulative graphX - changed dist_ and getdist_ to dst; getdist_max -> dstMaxVal, getdist_min -> dstMinVal dstVariance -> dstVar - added DIST category back. 2008-08-30 dge - v 1.1.6 betaP - add button to convert single argument excel functions to the dist equivalent;G for instance, =Sqrt( DIST ) becomes {=DstCreate( Sqrt( Dst( DIST ))} 2008-08-26 dge - v1.1.5 betaM - Fixed bug in computing Dist_IF output types when both clauses are scalars. 2008-08-25 dge - v 1.1.4 beta> - Dist_sCorrel -> Dist_Correl, Dist_sCovariance -> Dist_Covar 2008-08-23 dge - v 1.1.3 beta; - Dist_From_XML => Dist_Import, Dist_To_XML => Dist_ExportA - Fixed Dist_Export to put avg, min, max in scientific notation.B - fixed problem with Dist_Power() with name argument not working. 2008-08-19 dge - v 1.1.2 betaC - DistX functions changed to Dist_X, GetDistX changed to GetDist_XB - Fixed DistFreeze, DistThaw to work on gen_ functions as well as Dist_ and GetDist_ functions.. - hid and disabled Show Distributions button. 2008-08-14 dge - v 1.1.1 betaC - Fixed DISTFreeze bug that kept DISTFreeze from properly clearing% the values in some array formulas. 2008-08-13 dge - v1.1 beta - v 1.0.0 beta@ - fixed DistSum, DistProduct, to work with 1 range as argument. 2008-08-05 dgeI - v 3.1: Fix DistArithmetic() function to convert Dist types as follows:! Binary op X = X op Binary = X Single op Double = Single X op X = X? - Added arg to specify DIST names in DistArithmetic functions. 2008-07-11 dgeD - V1.0.17.lookup: fixed error in Decode_Values array causing Dst to skip over bins 53 to 62. 2008-07-10 dge - V1.0.14.lookupN - added Ron Roth's lookup table code to hopefully speed up creation of DISTs.G - Dist functions use new format with 100 characters to represent data.H - V1.0.15.lookup: fixes data labels for histogram so they work in XL 036 - V1.0.16.loopup: sample DISTs changed to new format. 2008-06-20 dgeO - Fixed bug in Dist_Create that didn't recognize zeroes when computing min/maxG - Added DIST category to function wizard, with list of DIST functions.( - Changed DIST category to 4=statistics 2008-?? dge - Added Dist_If 2008-05-10 dge - Version 1.0.7N - Fixed bug in Dist_Product--accumulator was initialized to 0, changed to 1 2008-05-10 dge - Version 1.0.6" - change argument names to Dist - Version 1.0.5bP - Fixed Excel 07 version not to have a flash of junk when creating the chart. - Version 1.0.53 - Changed GetStringX() argument names to DistArg - Version 1.0.4 - MakeDist => Dist_Create - GetDist => GetDist_& - GetStringAverage => GetDist_Average - DistVariance - DstsCovariance - DstsCorrel - GetStringMax => GetDist_Max - GetStringMin => GetDist_Min - GetStringName => GetDist_Name3 - GetStringNumberOfTrials=> GetDist_NumberOfTrials' - DistPercentile => GetDist_PercentileQ - Rename Distogram funct to something else that won't mess up the Dist functionsU - Fixed DstSum being displayed as Dstsum (Defined a name DstSum and then deleted it; this fixed it.) - Version 1.03bB - Changed MakeDistoGramChart to work with both Excel 03 and 07. - Version 1.0.3P - Fixed bug in MakeDistoGramChart; save ActiveCell.Address in string so I can, refer to it when the chart is selected.T - Fixed makeDistogramChart to select source by columns, so I don't get 10 series.W - Fixed MakeDistoGramChart to use font size of 12 for data labels and y-axis labels. 2008-05-09 dge - Version 1.0.20 - fixed bug in DstSumProduct() and sped it up - Version 1.0.1= - changed MakeDistoGramChart to hopefully work on Excel 03 before 9 May 08 - Created] v$  t v$B't  Y('rzdkd v$B'x p Y('rzXdPH t x Y('rz kkk v$de Y('rzk'ri Unnamed---DAttribute DstSum.VB_Description = "Returns DIST of sum of arguments"5Attribute DstSum.VB_ProcData.VB_Invoke_Func = " \n21"]@Xp] 8Ph]  Error: Unregistered'zzkx |'^ ^$  ^$d ^$    Y('zzk ~$ ~' $  $d $    Y('zzkk6 put all arguments in one array for easier processing. ~$ ^+d ^+ +k_ check that all args are either scalars or DISTs of the same length, or ranges of those things,/ and compute output type while you're doing it.'t'   $$  t $$r$ Y('zzk $$  $$R'  Binary Single 'k kd  $ $  $ $ t   $#$r$ Y('zzxkp   $#$    $#$R'  Binary Single 'kk  k z Now add up all the arguments. Scalars are treated as if they are DISTs made up of DistLength copies of the scalar value. t   $$d  t $ $ +  $$ e $$' $  Y('zzk  t $ $ +  $$   e  $ $  $ $   $#$d  t $   $# +    $#$ e   $#$' $  Y('zzHk@  t $ $ + d Y('zzk  k  GSingle'j+DstSum = DstCreate(V, DistName, OutputType) 'zi  Unnamed---MAttribute DstAverage.VB_Description = "Returns DIST of averages of arguments"9Attribute DstAverage.VB_ProcData.VB_Invoke_Func = " \n21"] 8]P]  Error: Unregistered'zk |'^ ^$  ^$d ^$    Y('zhk` ~$ ~' $  $d $    Y('zkk6 put all arguments in one array for easier processing. ~$H ^+dPh ^+ +k_ check that all args are either scalars or DISTs of the same length, or ranges of those things,/ and compute output type while you're doing it.'t'   $$  t $$r$ Y('zk $$  $$R'  Binary Single 'kpkhd`  $ $  $ $ t   $#$r$ Y('zk   $#$    $#$R'  Binary Single 'k8k0  k z Now add up all the arguments. Scalars are treated as if they are DISTs made up of DistLength copies of the scalar value. t]'   $$d  '  t $ $ +  $$ e $$' $  Y('zHk@  '  t $ $ +  $$   e  $ $  $ $   $#$d  '  t $   $# +    $#$ e   $#$' $  Y('zXkP  '  t $ $ + d Y('zk  k   t $  +  GSingle'j/DstAverage = DstCreate(V, DistName, OutputType) 'i Unnamed---M'Attribute DstProduct.VB_Description = "Returns DIST of product of arguments"9Attribute DstProduct.VB_ProcData.VB_Invoke_Func = " \n21"]Xp] 8Ph]  Error: Unregistered'zkx |'^ ^$  ^$d ^$    Y('zk ~$ ~' $  $d $    Y('z k k 6 put all arguments in one array for easier processing. ~$ ^+d  ^+ +k ^ check that all args are either scalars or DISTs of the same length, or ranges of those things compute output type't'   $$  t $$r$ Y('z k $$  $$R'  Binary Single 'k8 k0 d(  $ $  $ $ t   $#$r$ Y('z k   $#$    $#$R'  Binary Single 'k k  k | Now multiply all the arguments. Scalars are treated as if they are DISTs made up of DistLength copies of the scalar value. t(  t +    $$d  t $ $ +  $$ e $$' $  Y('zk  t $ $ +  $$   e  $ $  $ $   $#$d  t $   $# +    $#$ e   $#$' $  Y('zk  t $ $ + d Y('zk  kh  GSingle'j/DstProduct = DstCreate(V, DistName, OutputType) 'iaFunction DstDifference(Dst_or_number, Dst_or_number2, Optional DistName As String = "Unnamed---")^'Attribute DstDifference.VB_Description = "Returns DIST of 1st argument minus other arguments"='Attribute DstDifference.VB_ProcData.VB_Invoke_Func = " \n21"'(' Compute Dst_or_number - Dst_or_number2'f Dim x As Variant, y As Variant, W As Variant, Z As Variant, i As Long, V As Variant, XX As Variant\ Dim Args() As Variant, Base As Long, j As Long, DistLength As Long, k As Long, L As Long* Dim OutputType As String, xt As String#If CheckRegForDstFncs Then If Not IsRegistered Then- DstDifference = "Error: Unregistered" Exit Function End If#End If XX = Dst_or_number x = Dst_or_number2D If (VarType(XX) <> vbString And VarType(XX) <> vbArray + vbVariant And Not IsNumeric(XX))' Or (VarType(x) <> vbString And VarType(x) <> vbArray + vbVariant And Not IsNumeric(x))' Then) DstDifference = CVErr(xlErrValue) Exit Function End If 'B ' put all arguments but XX in one array for easier processing. ' ReDim Args(1 To 1) Args(1) = x 'c ' check that all args are either scalars or DISTs of the same length, or ranges of those things ' and compute OutputType ' '! ' first check the XX argument ' DistLength = 1 OutputType = ""! If VarType(XX) < vbArray Then4 If IsError(CheckDstArg(DistLength, XX)) Then- DstDifference = CVErr(xlErrValue) Exit Function End If? If VarType(XX) = vbString Then OutputType = DstType(XX)# Else ' xx must be a single cell) DstDifference = CVErr(xlErrValue) Exit Function End If ' ' Now check everything else ' For i = 1 To UBound(Args)* If VarType(Args(i)) < vbArray Then= If IsError(CheckDstArg(DistLength, Args(i))) Then1 DstDifference = CVErr(xlErrValue) Exit Function End If/ If VarType(Args(i)) = vbString Then% xt = DstType(Args(i))Q If OutputType = "" Or OutputType = "Binary" Or xt = "Single" Then# OutputType = xt End If End If Else6 For k = LBound(Args(i)) To UBound(Args(i))@ For L = LBound(Args(i), 2) To UBound(Args(i), 2)K If IsError(CheckDstArg(DistLength, Args(i)(k, L))) Then9 DstDifference = CVErr(xlErrValue)% Exit Function End If= If VarType(Args(i)(k, L)) = vbString Then3 xt = DstType(Args(i)(k, L))Y If OutputType = "" Or OutputType = "Binary" Or xt = "Single" Then+ OutputType = xt End If End If Next L Next k End If Next i ' ' Now subtract all the second and following arguments from the 1st. Scalars are treated as if they are DISTs made up of DistLength copies of the scalar value. '$ ReDim V(1 To DistLength, 1 To 1) ' ' first put XX values into V ' If IsNumeric(XX) Then For j = 1 To DistLength V(j, 1) = XX Next j Else W = Dst(XX)$ If VarType(W) < vbArray Then- DstDifference = CVErr(xlErrValue) Exit Function End If For j = 1 To DistLength V(j, 1) = W(j, 1) Next j End If '/ ' Now subtract everything from 1st argument ' For i = 1 To UBound(Args)" If IsNumeric(Args(i)) Then# For j = 1 To DistLength+ V(j, 1) = V(j, 1) - Args(i) Next j/ ElseIf VarType(Args(i)) = vbString Then W = Dst(Args(i))( If VarType(W) < vbArray Then1 DstDifference = CVErr(xlErrValue) Exit Function End If# For j = 1 To DistLength+ V(j, 1) = V(j, 1) - W(j, 1) Next j: ElseIf VarType(Args(i)) = vbArray + vbVariant Then6 For k = LBound(Args(i)) To UBound(Args(i))@ For L = LBound(Args(i), 2) To UBound(Args(i), 2)4 If IsNumeric(Args(i)(k, L)) Then/ For j = 1 To DistLength= V(j, 1) = V(j, 1) - Args(i)(k, L) Next jA ElseIf VarType(Args(i)(k, L)) = vbString Then. W = Dst(Args(i)(k, L))4 If VarType(W) < vbArray Then= DstDifference = CVErr(xlErrValue)) Exit Function End If/ For j = 1 To DistLength7 V(j, 1) = V(j, 1) - W(j, 1) Next j Else9 DstDifference = CVErr(xlErrValue)% Exit Function End If Next L Next k End If Next i1 If OutputType = "" Then OutputType = "Single"7 'DstDifference = DstCreate(V, DistName, OutputType) DstDifference = V End Function]Function DstDivide(Dst_or_number, Dst_or_number2, Optional DistName As String = "Unnamed---")Z'Attribute DstDivide.VB_Description = "Returns DIST of 1st argument minus other arguments"9'Attribute DstDivide.VB_ProcData.VB_Invoke_Func = " \n21"')' Computes Dst_or_number / Dst_or_number2'f Dim x As Variant, y As Variant, W As Variant, Z As Variant, i As Long, V As Variant, XX As Variant\ Dim Args() As Variant, Base As Long, j As Long, DistLength As Long, k As Long, L As Long* Dim OutputType As String, xt As String#If CheckRegForDstFncs Then If Not IsRegistered Then) DstDivide = "Error: Unregistered" Exit Function End If#End If XX = Dst_or_number x = Dst_or_number2D If (VarType(XX) <> vbString And VarType(XX) <> vbArray + vbVariant And Not IsNumeric(XX))' Or (VarType(x) <> vbString And VarType(x) <> vbArray + vbVariant And Not IsNumeric(x))' Then% DstDivide = CVErr(xlErrValue) Exit Function End If 'B ' put all arguments but XX in one array for easier processing. ' ReDim Args(1 To 1) Args(1) = x 'c ' check that all args are either scalars or DISTs of the same length, or ranges of those things ' '! ' first check the XX argument ' DistLength = 1 OutputType = ""! If VarType(XX) < vbArray Then4 If IsError(CheckDstArg(DistLength, XX)) Then) DstDivide = CVErr(xlErrValue) Exit Function End If? If VarType(XX) = vbString Then OutputType = DstType(XX)# Else ' xx must be a single cell% DstDivide = CVErr(xlErrValue) Exit Function End If ' ' Now check everything else ' For i = 1 To UBound(Args)* If VarType(Args(i)) < vbArray Then= If IsError(CheckDstArg(DistLength, Args(i))) Then- DstDivide = CVErr(xlErrValue) Exit Function End If/ If VarType(Args(i)) = vbString Then% xt = DstType(Args(i))Q If OutputType = "" Or OutputType = "Binary" Or xt = "Single" Then# OutputType = xt End If End If Else6 For k = LBound(Args(i)) To UBound(Args(i))@ For L = LBound(Args(i), 2) To UBound(Args(i), 2)K If IsError(CheckDstArg(DistLength, Args(i)(k, L))) Then5 DstDivide = CVErr(xlErrValue)% Exit Function End If= If VarType(Args(i)(k, L)) = vbString Then3 xt = DstType(Args(i)(k, L))Y If OutputType = "" Or OutputType = "Binary" Or xt = "Single" Then+ OutputType = xt End If End If Next L Next k End If Next i ' ' Now divide all the second and following arguments into the 1st. Scalars are treated as if they are DISTs made up of DistLength copies of the scalar value. '$ ReDim V(1 To DistLength, 1 To 1) ' ' first put XX values into V ' If IsNumeric(XX) Then For j = 1 To DistLength V(j, 1) = XX Next j Else W = Dst(XX)$ If VarType(W) < vbArray Then) DstDivide = CVErr(xlErrValue) Exit Function End If For j = 1 To DistLength V(j, 1) = W(j, 1) Next j End If '- ' Now divide everything into 1st argument ' For i = 1 To UBound(Args)" If IsNumeric(Args(i)) Then# For j = 1 To DistLength+ V(j, 1) = V(j, 1) / Args(i) Next j/ ElseIf VarType(Args(i)) = vbString Then W = Dst(Args(i))( If VarType(W) < vbArray Then- DstDivide = CVErr(xlErrValue) Exit Function End If# For j = 1 To DistLength+ V(j, 1) = V(j, 1) / W(j, 1) Next j: ElseIf VarType(Args(i)) = vbArray + vbVariant Then6 For k = LBound(Args(i)) To UBound(Args(i))@ For L = LBound(Args(i), 2) To UBound(Args(i), 2)4 If IsNumeric(Args(i)(k, L)) Then/ For j = 1 To DistLength= V(j, 1) = V(j, 1) / Args(i)(k, L) Next jA ElseIf VarType(Args(i)(k, L)) = vbString Then. W = Dst(Args(i)(k, L))4 If VarType(W) < vbArray Then9 DstDivide = CVErr(xlErrValue)) Exit Function End If/ For j = 1 To DistLength7 V(j, 1) = V(j, 1) / W(j, 1) Next j Else5 DstDivide = CVErr(xlErrValue)% Exit Function End If Next L Next k End If Next i1 If OutputType = "" Then OutputType = "Single"3 'DstDivide = DstCreate(V, DistName, OutputType) DstDivide = V End Function\Function DstPower(Dst_or_number, Dst_or_number2, Optional DistName As String = "Unnamed---")f'Attribute DstPower.VB_Description = "Returns DIST of 1st argument raised to power of second argument"8'Attribute DstPower.VB_ProcData.VB_Invoke_Func = " \n21"'.' Finds dist of Dst_or_number ^ Dst_or_number2'X Dim x As Variant, W As Variant, Z As Variant, i As Long, V As Variant, XX As Variant; Dim j As Long, DistLength As Long, k As Long, L As Long* Dim OutputType As String, xt As String#If CheckRegForDstFncs Then If Not IsRegistered Then( DstPower = "Error: Unregistered" Exit Function End If#End If XX = Dst_or_number x = Dst_or_number2` If VarType(XX) <> vbString And VarType(XX) <> vbArray + vbVariant And Not IsNumeric(XX) Then$ DstPower = CVErr(xlErrValue) Exit Function End If_ If (VarType(x) <> vbString And Not IsNumeric(x) And VarType(x) <> vbArray + vbVariant) Then$ DstPower = CVErr(xlErrValue) Exit Function End If 'I ' check that both args are either scalars or DISTs of the same length ' '! ' first check the XX argument ' DistLength = 1 OutputType = ""! If VarType(XX) < vbArray Then4 If IsError(CheckDstArg(DistLength, XX)) Then( DstPower = CVErr(xlErrValue) Exit Function End If? If VarType(XX) = vbString Then OutputType = DstType(XX)1 Else ' XX can't be an array so issue an error$ DstPower = CVErr(xlErrValue) Exit Function End If ': ' Now check X is scalars or DISTs of length DistLength ' If VarType(x) < vbArray Then3 If IsError(CheckDstArg(DistLength, x)) Then( DstPower = CVErr(xlErrValue) Exit Function End If% If VarType(x) = vbSingle Then xt = DstType(x)M If OutputType = "" Or OutputType = "Binary" Or xt = "Single" Then OutputType = xt End If End If Else$ DstPower = CVErr(xlErrValue) Exit Function End If '* ' Now find dist of XX^X, in two steps. ' V <= XX '$ ReDim V(1 To DistLength, 1 To 1) If IsNumeric(XX) Then For j = 1 To DistLength V(j, 1) = XX Next j Else W = Dst(XX)$ If VarType(W) < vbArray Then( DstPower = CVErr(xlErrValue) Exit Function End If For j = 1 To DistLength V(j, 1) = W(j, 1) Next j End If ' ' V <= V^X ' If IsNumeric(x) Then For j = 1 To DistLength! V(j, 1) = V(j, 1) ^ x Next j% ElseIf VarType(x) = vbString Then W = Dst(x)$ If VarType(W) < vbArray Then( DstPower = CVErr(xlErrValue) Exit Function End If For j = 1 To DistLength' V(j, 1) = V(j, 1) ^ W(j, 1) Next j End If1 If OutputType = "" Then OutputType = "Single"2 'DstPower = DstCreate(V, DistName, OutputType) DstPower = V End Function Unnamed---0HAttribute DstMax.VB_Description = "Returns DIST of maximum of arguments"5Attribute DstMax.VB_ProcData.VB_Invoke_Func = " \n21"5 Finds dist of max elements of trials of input dists.]  8 P h ]      ]0 H  Error: Unregistered'zk |' $  $    $d Y('zhk` ~$ ~'^ ^$  ^$d ^$    Y('zkk= put all arguments but XX in one array for easier processing. ~$x ^+dH k(^ check that all args are either scalars or DISTs of the same length, or ranges of those things and compute OutputType first check the XX argument't' $  t $r$ Y('zk~ $ G $R'jd~       t  $$r$ Y('zH~k@~  $$   $$R'  Binary Single 'k}k}  k} Now check everything else   $$  t $$r$ Y('z}k| $$  $$R'  Binary Single 'k|k|dx|  $ $  $ $ t   $#$r$ Y('z{k{   $#$    $#$R'  Binary Single 'kP{kH{  k {  first put XX values into V t $d  t  +  $ e $' $  Y('zzkz  t $ +  $   e        $$d  t  $ $ G  $ +j   $$ e  $$' $  Y('zxxkpx  t $ $ $$G $ +j dw Y('zwkw  dw Y('zwkw Now find dist of max values   $$d  t $ $ G $ +j  $$ e $$' $  Y('zXvkPv  t  $ $ G $ +j  $$   e  $ $  $ $   $#$d  t   $# $ G   $# +j    $#$ e   $#$' $  Y('z`tkXt  t $ $ G $ +j ds Y('zsks  ds Y('zsks  GSingle'j/ DstMax = DstCreate(V, DistName, OutputType) 'is Unnamed--- HAttribute DstMin.VB_Description = "Returns DIST of minimum of arguments"5Attribute DstMin.VB_ProcData.VB_Invoke_Func = " \n21"5 Finds dist of min elements of trials of input dists.]p       ] P h    ]   Error: Unregistered'zpqkhq`q |' $  $    $d Y('zqkq ~$ ~'^ ^$  ^$d ^$    Y('zpkpkp= put all arguments but XX in one array for easier processing. ~$ ^+do0 ko^ check that all args are either scalars or DISTs of the same length, or ranges of those things and compute OutputType first check the XX argument't' $  t $r$nkn $ G $R'jdxn       t  $$r$nkn  $$   $$R'  Binary Single 'kmkm  kXm Now check everything else   $$  t $$r$lkl $$  $$R'  Binary Single 'kXlkPldHl  $ $  $ $ t   $#$r$kkk   $#$    $#$R'  Binary Single 'k0kk(k  kk  first put XX values into V tX $d  t  +  $ e $' $  jki  t $ +  $   e        $$d  t  $ $ G  $ +j   $$ e  $$' $  xhkph  t $ $ $$G $ +j dggkg  dggkg Now find dist of min values   $$d  t $ $ G $ +j  $$ e $$' $  fkf  t  $ $ G $ +j  $$   e  $ $  $ $   $#$d  t   $# $ G   $# +j    $#$ e   $#$' $  dkd  t $ $ G $ +j d(d dkd  dcckc  GSingle'j+DstMin = DstCreate(V, DistName, OutputType) 'zhc`c Y('iHc Unnamed---` RAttribute DstSumProduct.VB_Description = "Returns DIST of sumproduct of arguments"<Attribute DstSumProduct.VB_ProcData.VB_Invoke_Func = " \n21"l Finds dist of sumproduct of AA and A; each must be a range of scalars and DISTs, each DIST the same length.] 8Ph]]  Error: Unregistered'zxakpaha |' ~'^ $  $    $d Y('zaka ^$  ^$d ^$    Y('z`k`W check that both args are either scalars or DISTs of the same length or ranges of same. and compute OutputType first check the XX argument't $  D If XX is not an array, then X must not be one either, so check that ^$  Y('z(_k _ t $r$ Y('z^k^ $ G $R'jd^S If XX is an array then X must be an array with the same dimensions, so check that. ^$  % is X an array? Y('z^k^  ^  ^I do X's dimensions match XX? Y('z]k]% Dimensions match, so check each cell       t  $$r$ Y('z\k\  $$   $$R'  Binary SingleG 'jk@\  k\5 Now check X is scalars or DISTs of length DistLength ^$  t ^$r$ Y('z[kx[ ^$  ^$R'  Binary SingleG 'jk[d[  ^ ^  ^ ^ t  $^$r$ Y('zZkxZ  $^$   $^$R'  Binary SingleG 'jkY  kY$ Now I create a dist of sumproducts.l I have two arrays of (scalars or dists), each array with identical dimentions (or else it's two 1x1 arrays)1 the dists should all have a length of DistLengthy for each trial from 1 to distlength, I take the sumproduct of the arrays formed from the Trial-th elements of the dists;< that sumproduct is the trial-th element of the output dist.x if the element of an array is a scalar, not a dist, I treat it as a dist of identical values equal to the scalar value. tH]P Products to be Summed $ds XX and X must refer to single cells containing a scalar or a DIST; the result will just be the product of XX and X  t  +  $  e&s XX and X must refer to single cells containing a scalar or a DIST; the result will just be the product of XX and X $' $  Y('zUkU  t $ + d  XX is a range t            $$d  t  $   + d`T  $$' $  Y('zTkT  t $   + kS  kS ^$d  t $ ^ +  ^$ e ^$' $  Y('zRkR  t $ $ + d`R  t +   ^ ^  ^ ^  $^$d  t $   $  $^ + dPQ  $^$' $  Y('zQkQ  t $   $ $ + kP  khP GSingle'j2DstSumProduct = DstCreate(V, DistName, OutputType) 'iP $dG 'cG $'jiOFunction DstIf(Dst_or_Scalar_1, Operator, Dst_or_Scalar_2, Dst_or_Scalar_Then, Dst_or_Scalar_Else, Optional DistName As String = "IF--------")Y'Attribute DstIf.VB_Description = "Op can be ""<"", ""<="", ""<>"", ""="", "">"", "">="""5'Attribute DstIf.VB_ProcData.VB_Invoke_Func = " \n15"W Dim A1 As Variant, A2 As Variant, Op As Variant, AThen As Variant, AElse As Variantn Dim D1 As Variant, D2 As Variant, DThen As Variant, DElse As Variant, DistLength As Long, TrialNum As Long Dim DR() As Variant* Dim xt As String, OutputType As String#If CheckRegForDstFncs Then If Not IsRegistered Then% DstIf = "Error: Unregistered" Exit Function End If#End If A1 = Dst_or_Scalar_1 Op = Operator A2 = Dst_or_Scalar_2 AThen = Dst_or_Scalar_Then AElse = Dst_or_Scalar_ElseL If (VarType(A1) <> vbString And Not IsNumeric(A1)) Then GoTo DstIf_error4 If VarType(Op) <> vbString Then GoTo DstIf_errorL If (VarType(A2) <> vbString And Not IsNumeric(A2)) Then GoTo DstIf_errorR If (VarType(AThen) <> vbString And Not IsNumeric(AThen)) Then GoTo DstIf_errorR If (VarType(AElse) <> vbString And Not IsNumeric(AElse)) Then GoTo DstIf_error DistLength = 1A If IsError(CheckDstArg(DistLength, A1)) Then GoTo DstIf_erroro If Op <> "<" And Op <> "<=" And Op <> "=" And Op <> "<>" And Op <> ">" And Op <> ">=" Then GoTo DstIf_errorA If IsError(CheckDstArg(DistLength, A2)) Then GoTo DstIf_errorD If IsError(CheckDstArg(DistLength, AThen)) Then GoTo DstIf_errorD If IsError(CheckDstArg(DistLength, AElse)) Then GoTo DstIf_error< If VarType(A1) = vbString Then D1 = Dst(A1) Else D1 = A1< If VarType(A2) = vbString Then D2 = Dst(A2) Else D2 = A2K If VarType(AThen) = vbString Then DThen = Dst(AThen) Else DThen = AThenK If VarType(AElse) = vbString Then DElse = Dst(AElse) Else DElse = AElse ' ' Determine OutputType ' OutputType = ""A If VarType(AThen) = vbString Then OutputType = DstType(AThen)% If VarType(AElse) = vbString Then xt = DstType(AElse)Y If OutputType = "" Or OutputType = "Binary" Or xt = "Single" Then OutputType = xt End If1 If OutputType = "" Then OutputType = "Single"% ReDim DR(1 To DistLength, 1 To 1) Select Case Op Case "<"* For TrialNum = 1 To DistLengthG If GetTrial(D1, TrialNum) < GetTrial(D2, TrialNum) Then? DR(TrialNum, 1) = GetTrial(DThen, TrialNum) Else? DR(TrialNum, 1) = GetTrial(DElse, TrialNum) End If Next TrialNum Case "<="* For TrialNum = 1 To DistLengthH If GetTrial(D1, TrialNum) <= GetTrial(D2, TrialNum) Then? DR(TrialNum, 1) = GetTrial(DThen, TrialNum) Else? DR(TrialNum, 1) = GetTrial(DElse, TrialNum) End If Next TrialNum Case "="* For TrialNum = 1 To DistLengthG If GetTrial(D1, TrialNum) = GetTrial(D2, TrialNum) Then? DR(TrialNum, 1) = GetTrial(DThen, TrialNum) Else? DR(TrialNum, 1) = GetTrial(DElse, TrialNum) End If Next TrialNum Case "<>"* For TrialNum = 1 To DistLengthH If GetTrial(D1, TrialNum) <> GetTrial(D2, TrialNum) Then? DR(TrialNum, 1) = GetTrial(DThen, TrialNum) Else? DR(TrialNum, 1) = GetTrial(DElse, TrialNum) End If Next TrialNum Case ">"* For TrialNum = 1 To DistLengthG If GetTrial(D1, TrialNum) > GetTrial(D2, TrialNum) Then? DR(TrialNum, 1) = GetTrial(DThen, TrialNum) Else? DR(TrialNum, 1) = GetTrial(DElse, TrialNum) End If Next TrialNum Case ">="* For TrialNum = 1 To DistLengthH If GetTrial(D1, TrialNum) >= GetTrial(D2, TrialNum) Then? DR(TrialNum, 1) = GetTrial(DThen, TrialNum) Else? DR(TrialNum, 1) = GetTrial(DElse, TrialNum) End If Next TrialNum End Select0 'DstIf = DstCreate(DR, DistName, OutputType) DstIf = DR Exit Function DstIf_error: DstIf = CVErr(xlErrValue) End FunctionSub DistMacroOptions() Dim MODR As Range6 Set MODR = Sheet1.Range("Macro_option_data")(1, 1)- If Workbooks.Count < 1 Then Workbooks.Add Do Until IsEmpty(MODR) Application.MacroOptions Macro:=MODR.value, Description:=IIf(IsEmpty(MODR(1, 2)), "", MODR(1, 2).value), Category:=MODR(1, 3).value Set MODR = MODR(2, 1) LoopEnd Sub(9Attribute VB_Name = "ModuleDistXmlFunctions" Op$ Explic it ' Change H^ory(2008-10-18 dgeL- 11t h fixAdded TrialNumber (part to Dst()),L2LXML DIST beta 10Z.xlaA1- Fix^Divide by zero er@ror in] when the $cras of only two values.)+D1D9CsfOrigini09%8%a@dling Percentile0__`_7th_cL2@nd bugh fJ` from Ron A06E.( ' FBc_5 DREInst8alleth09-30GHA' - RemovHelp,m, Scat@plot, a3$soinnal sLsave spacea couple!Aunusco=mB@Ccol@IpickLmBhow@i0textC ba@ckgrou%is very d8arkA F<25<4stwork+rrect@b tagntains nota: e.g. ` [1l3rd/lTha2wawT*mm1@T af`1@3 array !t4ed 1>-returvypetB;`TX() fŔk f:!VbFa|t %;eJ ort@dImp 3g5Ƒ^q a&b`Veg` (1v 1.1.7b'f`jrt`Tadd,cumulati[graphQ:- c"d_Qget_Adst; max -> `MaxpVal,'$in A Va`nce@m  !`8{6G`tto?ocaZft s`targuJexce` ', =SPqrt(C)c!s {=@Create( $ 9)} cf8-2f- v55HN@( puta5a_IF out  tZxbo~hclaTsdcalarBT5O#'4 sCola3,_v @zH.s*3}F@b_G=>2To0qwzst_429avg, min@#0)sci0ificMt@.#iX@l&problem wi PowerAn#noYT(1y2X&5P 2@X, GetX'v74_X]FrpeezesT/gen_as w@ell asA ?s<A hid0ad Si bq5^4%~1X#-= @hTkeptR2҃per@jcle'ng !:91\CatpL/1(`6 0.0S!LSuPrP|cs!1 rE063.1L: Ar&metichhHJ=follows:Bina!Pop XX #$= " S0*p Dou@##B- #g 1specify 0s g K#ASM7-1hV1.0.17.lookup:q07eQ_pa}ScL s @ skip @r$ b53Q 62o4a- e@'s c < tQ.Pb hopefulp'p up cr ]`/?+"&2Bcne&wc"00=racBrepres@I1  5s label*sgh@o zm dso!y (`NXL 03S6p1samr E {6-2Ndh_m2dn't ognize piGkY/0 ԍQ%eXzard,YlUO~J3p4=pzt9icQOq)??Id@_IfF 05 wVers,7A ` `F Ama/a flashju|nkd/Q@rA t. ' - Version@ 1.0.5 Changed GetStringX() argument names to DistArgj p 4*MakeR =>b_Create2a _zAvera|ge=!(>V@ariancSD@stsCovrrel ^Max - in in N umb erOfTSls;dN hPercil{  Reogram funct@someth else that won't s upe @sFix~PSum bedisplayas W@(Dexfin andAn delDetit; !@is fit.)ʌ3bɟoG@7r7work with boExc@el 03 0737bug u; save ActiveCell.AddPress s so I ca referA]"iYhenA@ cha@+ 0GoTo< 0H'CV (xlValue@%iExd{%/ E`/ QEJIfO&@3D8=ᘿ&f1&@5&g&'&i,`&a+' g)5r  -"m! 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N%y#uNe@LkbkgibicfNow add upbuments.  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P%' ' 6all v> B Xonepwfmeasier p>>e9asts Re1=6s1SSAxc Ka0v0 cQ4@ that ds0 e eith @scalarGr'OH sT l |, rangJeo@th#sEEa`.come8`k first e eE= 1 kC(7p5%3`Is@(E%p(g,B)/( Gost7cL`Iw>Kk`LBound@o UGL, <; OgLS4/* ߵvXT?P# Or"Binary""\Qz|xtq ~ BX&>Now4everys9set!"iFt$FxG(i0ȓ Q##u5c#sS 0=75  o"o"o" o" /"m0UAq(Be !aQC\CX t0C49o a7 ?W `AJrgs(i)(k, L)) = vbString Then xtDstT`ype(A hIf OutpujA~"" Or B`inaryc"Sle" [xtEnd If NeGL] k  i ' first  XX values into V ReDim V(1 To DistLength, 1)IsNumer@ic(XX)For j "V(j@}XXG.jElse@VarzW#W) i(antWk;LBound_o U/FZ,LI , 2l  Ox?bFA@XX 3A PC#) NGIeSK WMNi-`P,IsEmpty(D/xh/W Y/%? $=OgK)iq]C1Q+OJfJXO Xd"(i)(# 1YYXoQ(N 5zhoI$ CO*[jOE/,//L-/ 0o.x//O/0 T/oeo1lrt y0?y4@߽q2Ŀ'`Create(V,Name,t> Exit Functio &:#CV`(xlPVqj `SumPr@oduct(_or_numbeRr st2P p al As D= "Unn d---"@'ABtbuteK.VB_Descri0"Returns DISTatsump argnts"  OsA@ cDataInvok e_a \n21 Find s {AA aA; each mu@be a@ range c`alarsb s, the s0 l6.PюxpA!, W ZiLong, V4j77kL=h t1S(W  #P/Chec0kRegE"Fn csNot Is@ered|0&Q*or: Unreg$0/7;/a9#@f XX = Dst_or_numbe*rx X2\If VarType(XX) <> vbString And6Arr0ay +JliantLNot IsNumericHThenaSumProductCVErr(xlValue)*Exit FunctioAEII(~x D ba) UW'l' check that both argse either scalars or D(ISTfe same leng range+ ..acompute OutAtD first#e @# nntJ DistL= 1MSOD=k' is not an=@,7n X mu#Abe onC, soL"v>="A Y Is@or(CCAw@Arg(M,V)͖A#A"Ay"$y3BC!DAu#*Elseg+87j76w`YV@dimensxs9Va u9 ' HXG?G)bAa;"UBound Or F, 2␥".' do X's '! matchB??;8D12ea`cell2@Fk`FL!TohAL!7-i(k, L)rjaaAjAtBlXX߀f@ox?pds "" PKBinar&y"S0|le"m?x^E qDi1NeL' kd&' NowT[X:?mflGR$>@q P"Wx?"![o11?!K lWW Ex3p_"__%@"Y) ^=P= =x=1` /r3?J@ V o=O0_=_=e1 _=0 _= Z=I creaХalof PsumpsvI have twVoc(x@d@sh), gaBidenti0r(s (gep it@tA1x13'R shou@ld allSaF F fqoal from 01 to , I tak h= 0medaTrial-elet2R ; q 7RAoR i#tВa4>,   a/Rvs xequ`Q  ' Rep V(1 pCW,1d1Pr() As DoublesAPpS1 ʐxdref sBP s contaiZn  %Qar;"result wi"ja,4Ojp6AV(j)`XX"7jW WorAofJcalar or a DIST; the result will just be\product of XX and X W = Dst(XX)(If VarType(W) < vbArray ThenJA:SumPa= CVErr(xlValueT.Exit F@unctioIEIfYFj1 To DistLength zV(j, 1)WNext jElse ' |israngeReDim Pr( 5, LBoundBU , 2) x}ckO%CL/ kIsN@umeric+(k@()%j ^W GZ'XXO" ^aS G. 礉짉Ԫ̭|YδYbLg*kn'CjKxJ_t%* xc AHu< =@StringlFxmHc!!% j 0-` ! ;o Ĝ*eHx,' !a1x{p%o)+AfMo!IO$ _ P e?f) v v }K? KSPOutpLuta`j""& EKSDle"#'=Create(V,rName,(F}V &  GetTrial(AB_or_SAsaiant, P| @LongP 74X0 w,(Eq 'c If(P _1pperatorst2 q= !al_= "IF-B"''At`bute1If.VB_DescripaQOp can""<"", `=t>s>> pcD