Diagonal Sum Product If Formula

sweetmetrics

New Member
Joined
Apr 29, 2011
Messages
22
I am stumped on coming up with a dynamic formula that calculates a value based on an increasing number of "sums of products". Specifically, I need to calculate the total number of repeat users based on a "decaying' repeat rate. In other words, I need it to calculate = Sum[... +(d5*f5)+(d4*g4)+(d3*h3)]

or in equation form for you math folks like me out there:
screenshot20120831at314.png

where
n = (1, "infinity")
and
i = {1, 2, ... (n-1)}

with
"Xn" is the calculated value of repeat users for month "n" (output/result cell)
"mi" is the number of new users (in month i)
"Nn-i" is the column 'number' of the repeat rate value (%) multiplier

Here is a screenshot of the first couple rows to illustrate:

screenshot20120831at308.png



I actually have about 70 months of data (rows) and roughly the same amount of columns representing a decaying repeat rate (70 or so) and these will be increasing as time goes on so I need this formula to be dynamic (i.e. - copy it down the column of (# of repeat users)

I am using Excel for Mac 2011.

Thanks in advance for any help! :)
 

Excel Facts

Did you know Excel offers Filter by Selection?
Add the AutoFilter icon to the Quick Access Toolbar. Select a cell containing Apple, click AutoFilter, and you will get all rows with Apple
You could use a UDF:

Code:
Function SM(rCol As Range, rTbl As Range) As Double
    Dim i As Long
    Dim n As Long
    
    n = rCol.Rows.Count
    
    For i = 1 To n
        SM = SM + rCol(i).Value * Intersect(rCol(i).EntireRow, rTbl.Columns(n - i + 1)).Value
    Next i
End Function

E.g.,

Code:
      --A--- --B-- -C- D -E-- -F-- -G-- -H--
  1   Repeat Month New 0  1    2    3    4  
  2     0.02         2   1.0% 3.0% 0.0% 5.0%
  3     0.06        11   0.0% 9.1% 0.0%     
  4    6.023        54   9.3% 1.9%          
  5    6.148       186   2.7%

In A2 and copy down,

Code:
=SM($C$2:$C2, $E$2:$BV2)
 
Upvote 0
You could use a UDF:

Code:
Function SM(rCol As Range, rTbl As Range) As Double
    Dim i As Long
    Dim n As Long
    
    n = rCol.Rows.Count
    
    For i = 1 To n
        SM = SM + rCol(i).Value * Intersect(rCol(i).EntireRow, rTbl.Columns(n - i + 1)).Value
    Next i
End Function

E.g.,

Code:
      --A--- --B-- -C- D -E-- -F-- -G-- -H--
  1   Repeat Month New 0  1    2    3    4  
  2     0.02         2   1.0% 3.0% 0.0% 5.0%
  3     0.06        11   0.0% 9.1% 0.0%     
  4    6.023        54   9.3% 1.9%          
  5    6.148       186   2.7%

In A2 and copy down,

Code:
=SM($C$2:$C2, $E$2:$BV2)


Wow thank you for this! Base On the code I'm seeing, this seems perfect. Unfortunately, I'm new to using UDF's and VBA so I haven't gotten this to work yet. Do you have any links or points on how to setup a UDF? I am currently just getting a NAME? error when I use the SM UDF.

Thank you! :)
 
Upvote 0
Do Alt+F11 to open the VBE, then Insert > Module, and paste the code in the window that opens.

Then do Alt+Q to return to Excel, and enter the formula as shown.
 
Upvote 0
Do Alt+F11 to open the VBE, then Insert > Module, and paste the code in the window that opens.

Then do Alt+Q to return to Excel, and enter the formula as shown.

Ah gotcha! I did not insert it as a module, I was just pasting in the VBE area for the Workbook.

This works! Thank you, very much appreciated. :)
 
Upvote 0
The one line could be simplified (and improved) to

Code:
        SM = SM + rCol(i).Value * rCol(i, n - i + 1).Value
 
Upvote 0
Hi

Shg's udf is the way to go, it's a clear and neat solution.

If for some reason you could not use vba, however, this could be a formula solution. In A2:

=SUM($B$2:B2*(INDEX($C:$C,ROWS($A$2:A2)+ROW($A$2)-1):INDEX($2:$2,ROWS($A$2:A2)+COLUMN($A$2)+1))*(ROW($A$2:A2)+TRANSPOSE(ROW($A$2:A2))=ROW($A$2)+ROW(A2)))

This in an array formula and so MUST be confirmed with CTRL+SHIFT+ENTER and not just ENTER.

Copy down.

<table border="1" cellpadding="1" style="background:#FFF; border-collapse:collapse;border-width:2px;border-color:#CCCCCC;font-family:Arial,Arial; font-size:10pt" ><tr><th style="border-width:1px;border-color:#888888;background:#9CF " > </th><th style="border-width:1px;border-color:#888888;background:#9CF; text-align:center" >A</th><th style="border-width:1px;border-color:#888888;background:#9CF; text-align:center" >B</th><th style="border-width:1px;border-color:#888888;background:#9CF; text-align:center" >C</th><th style="border-width:1px;border-color:#888888;background:#9CF; text-align:center" >D</th><th style="border-width:1px;border-color:#888888;background:#9CF; text-align:center" >E</th><th style="border-width:1px;border-color:#888888;background:#9CF; text-align:center" >F</th><th style="border-width:1px;border-color:#888888;background:#9CF; text-align:center" width=30 >G</th></tr><tr><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;background:#9CF; text-align:center; " ><b>1</b></td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:left;border-width: 1px;border-color:#888888; ">Repeat</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:left;border-width: 1px;border-color:#888888; ">Month</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:left;border-width: 1px;border-color:#888888; ">New</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; ">0</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; ">1</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; ">2</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; ">3</td></tr><tr><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;background:#9CF; text-align:center; " ><b>2</b></td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; ">0.02</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; ">2</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; ">1.00%</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; ">3.00%</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; ">0.00%</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; ">5.00%</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td></tr><tr><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;background:#9CF; text-align:center; " ><b>3</b></td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; ">0.06</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; ">11</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; ">0.00%</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; ">9.10%</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; ">0.00%</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td></tr><tr><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;background:#9CF; text-align:center; " ><b>4</b></td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; ">6.023</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; ">54</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; ">9.30%</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; ">1.90%</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td></tr><tr><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;background:#9CF; text-align:center; " ><b>5</b></td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; ">6.148</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; ">186</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; ">2.70%</td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td></tr><tr><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;background:#9CF; text-align:center; " ><b>6</b></td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td><td style="border-width:1px;border-color:#000000; padding-left:0.5em; padding-top:0.4em; padding-right:0.5em; padding-bottom:0.25em;text-align:right;border-width: 1px;border-color:#888888; "> </td></tr><tr><td colspan=8 style="background:#9CF; padding-left:1em" > [Book1]Sheet1</td></tr></table>
 
Upvote 0
I got about 1/3 of the way into developing a formula and punted. Nicely done, PCG.
 
Upvote 0
Another one

A B C D E F G H
RepeatNewUsersMonthNew0123
0,0202100%1,00%3,00%0,00%5,00%
0,06011100%0,00%9,10%0,00%
6,02354100%9,30%1,90%
6,148186100%2,70%

<colgroup><col style="width: 48pt;" width="64"> <col style="width: 53pt; mso-width-source: userset; mso-width-alt: 2560;" width="70"> <col style="width: 48pt;" span="6" width="64"> <tbody>
</tbody>


Formula in A2
=SUMPRODUCT($B$2:B2,N(OFFSET($D2,-(ROW(D2)-ROW($D$2:D2)),ROW(D2)-ROW($D$2:D2),1,1)))
copy down

M.
 
Upvote 0

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