Excel cumulative count array - arrays

tried searching here but found nothing quite fit this query. I'd like to cumulatively count the 'TRUE's in an Excel array. The array is e.g. {TRUE;FALSE;FALSE;TRUE;TRUE;FALSE;TRUE} which I'd like to manipulate to return {1;0;0;2;3;0;4}.
The array is produced by a number of clauses, which I'd rather not call repeatedly to get the answer else the formula will balloon in size !. The numeric result would then be compared with a value e.g. >=3 to return an array of TRUE/FALSEs which are then multiplied by 1 further array, before being converted to dates
All of this is using native Excel not VBA, which I'd like to maintain if possible. I've been trying options for days to get this to work, and would sorely appreciate any advice. Thanks very much for your time, ian taylor.

Using the name Arry for e.g. {TRUE;FALSE;FALSE;TRUE;TRUE;FALSE;TRUE}:
Arry*MMULT(N(ROW(INDEX(A:A,1):INDEX(A:A,ROWS(Arry)))>=COLUMN(INDEX(1:1,1):INDEX(1:1,ROWS(Arry)))),N(Arry))
This may well require committing with CSE, depending upon the construction within which it is employed.
Regards

Related

Excel Array formulas details and guidance needed (INDEX,MATCH and SUM/COUNTIF)

So I'm having difficulties understanding fully how arrays works and when they are used by excel and specifically what happens in the background.
From reading the past few hours I understand that one of the reasons my Index Match doesn't work without array is simply because its a multicriteria Match that I use as below:
{=INDEX(D30:E36,MATCH(F33&G33,B30:B36&C30:C36),2)}
From what I understand the reason is that Match returns a {x,y} result which classifies it as an array formula. But considering the point is to get a row number, if the row I'm looking for is 5 then Match will return a {5,5} for row number for Index. And then Index interprets this as just 5? or what exactly happens in the background here?
Then I found an article which showed how to circumvent the array formula and not need ctrl+shift+enter as shown below. How does the below change things and what happens in the background?
=INDEX(D30:E36,MATCH(F33&G33,INDEX(B30:B36&C30:C36)),2)
The below is a an array SUM/COUNTIF formula which counts unique cells only which does not work without array brackets. Why is that and how does it work? It involves maths so I'm not sure.
{=SUM(1/(COUNTIF(A1:A5,A1:A5)))}
Thank you!

SUM with IF conditions for cells containing both strings and numbers

I've got a bigger table with one column that I want to focus on, containing designation and a number. I want to simply sum the numbers that meet the criteria based on a designation.
For the simplification, I made an exercising sheet (on the pic) where I split second column into two - one string and one numeric. Since my file is quite large with many columns that would need this it would be inconvenient.
In the left column it's easy to solve the problem, it could be even easier with simple SUMIF function, but an array SUM(IF... function is, at least I think, only viable option here.
So I solved the first table with array function, but what confuses me is how to modulate the TRUE statement. Simple replacement of C:C
with
VALUE(MID(F:F;4;4))
which would format my cells to get the numbers from string does not work that way - returns zero in E12 field. F12 is just application of string to number for last cell, F10.
THIS formula does not work, even adapting to different versions of the tool.
I could use VB but if possible anyhow I would like to avoid it since parts will be shared on mobile phones.
Any ideas? Thanks a lot!
Left table was split, right original format
The array formula which you used can be replaced by the SumIf formula like below...
=SUMIF(B:B,"B",C:C)
Also without the helper column, you can use the Sumproduct formula to achieve the desired output.
But don't refer the whole column in the formula like in the above SumIf formula.
Try this..
=SUMPRODUCT((B1:B10="B")*MID(F1:F10,FIND(",",F1:F10)+1,255)*1)
Change the ranges as per your requirement but remember to make them equal in size.

Change array dimensions, using spreadsheet functions, when used inside SUMPRODUCT

I am interested in spreadsheet functions, not VBA solutions, to be included in a single cell formula.
[A1:A15 contain numeric values from 1 to 127, B1:B15 contain integers from 1 to 7 that set a divisor.]
Given the function:
=SUMPRODUCT(MOD(FREQUENCY(A1:A15;A1:A15);B1:B15))
FREQUENCY(A1:A15;A1:A15) gives a 1-column array of 15+1 rows, whereas the second part (B1:B15) is a 1-column array of 15 rows.
I would like to change the resulting array given by FREQUENCY (only in memory -not explicit in sheet-) from a 1-column 16 rows array to a 1-column 15 rows array with the first 15 cell values of that array.
[FREQUENCY documentation: https://support.office.com/en-us/article/FREQUENCY-function-44e3be2b-eca0-42cd-a3f7-fd9ea898fdb9 NB: for Excel, second remark states number of elements that depend on bins_array. ]
I would appreciate suggestions.
Thus, both arrays within MOD will have the same dimensions and SUMPRODUCT will not find cells with error values. I can disregard error values using IF and ISERROR within SUMPRODUCT, but I'd rather disregard the non-relevant part of the FREQUENCY resulting array if it is possible.
It has been thought that making it more specific might be more helpful, so it has been heavily reduced and simplified.
With external help, I have been able to fine-tune a way to solve my problem using INDEX in array formula mode. I am posting the answer in case it helps others.
One way: Put FREQUENCY(A1:A15;A1:A15), or any formula that produces an multi-cell array, within INDEX and have 2nd and/or 3rd arguments as array of consecutive values which will represent rows/columns.
INDEX(FREQUENCY(A1:A15;A1:A15);ROW(INDIRECT("1:" & ROWS(FREQUENCY(A1:A15;A1:A15)-1));1)
First argument within INDEX is the resulting array coming from a formula to shrink (from 16x1 to 15x1), which would be a multi-cell array formula if explicitly entered; second argument is the array 1..15 given by row numbers from 1 to the number of total rows of the "array from formula to shrink" MINUS 1: the first 15 (out of 16) values in the array from a formula; 3rd argument is the column of the shrank array (if need be, more than one could be selected using an analogue to the second argument).
In the particular case of FREQUENCY, because it is known that we are interested in the "bins" part of the function, the formula can be simplified by including the total rows of the "bins"/"intervals" array inside FREQUENCY (its second argument). We will have
INDEX(FREQUENCY(A1:A15;A1:A15);ROW(INDIRECT("1:" & ROWS(A1:A15)));1)
and the complete formula would become
SUMPRODUCT(MOD(INDEX(FREQUENCY(A1:A15;A1:A15);ROW(INDIRECT("1:" & ROWS(A1:A15)));1);B1:B15))
Now, both dividend and divisor of MOD have exactly the same dimensions (15x1) and because B1:B15 includes integers greater than 0 there are no errors.
Thanks all for helping me in making question more concise and better formatted.
ADDITIONAL INFORMATION: As pointed out correctly in comments by XOR LX, this does not seem to work in the widely popular spreadsheet software Excel. It has been developed for an INDEX function inside SUMPRODUCT as used in Open Office Calc which I had mistakenly thought 100% equivalent to Excel's version. A more complete answer perhaps using other functions would be appreciated.
In the previous answer, XOR LX points out very correctly that this formula cannot work in Excel, due to row_num/column_num argument behaviour. Very kindly XOR LX has shown me how that approach can work, and also thanks and credit for supplying a good answer: "INDEX can be used to redimension array (even dynamically created ones) if the row_num/column_num array is coerced to take an arbitrary array with the right dimensions, as shown on this blog entry " The following formula has been checked in Excel 2010 and has the expected results:
SUMPRODUCT(MOD(INDEX(FREQUENCY(A1:A15,A1:A15),N(INDEX(ROW(INDIRECT("1:" & ROWS(A1:A15))),,)),1),B1:B15))
NB: row_num argument of first INDEX, a ROW generated auxiliary array, has been nested inside N(INDEX([...],,)); at least one comma is necessary to account for the two arguments minimum of the nested INDEX. It is in itself interesting the discussion that applies generally to INDEX's arguments, and other functions', that need to be coerced to take arrays (see, here and here at XOR LX's blog). For Open Office users it might be worth stressing the point made at the blog
Unlike OFFSET, (...) for which the first parameter must be a
reference (...) in the worksheet, INDEX can also accept –
and manipulate – for its reference arrays which consist of values
generated e.g. via other subfunctions within the formula. XOR LX's blog
That would be indeed the case in changing the dimension in an array as in this question, but also useful in reversing or displacing the values in an array, for example. Open Office accepts arrays as row_num/column_num, so the coercion is not needed and some formulas rely on this, but without it, these formulas are unlikely to work when files are open in Excel.
Regrettably, this type of coercion is not passed correctly to Open Office, and formula need to be "decoerced" to work, at least in my casual tests.
In order to use a formula that would work in both spreadsheet programs regarding shortening arrays, the only thing I have managed is the following (required: arrays must be single-column)
SUMPRODUCT(
(COLUMN(INDIRECT("R1C1:R"& ROWS(vals_to_mod) &"C"& ROWS(FREQUENCY(vals_for_freq,vals_for_freq)),FALSE))
-ROW(COLUMN(INDIRECT("R1C1:R"& ROWS(vals_to_mod) &"C"& ROWS(FREQUENCY(vals_for_freq,vals_for_freq)),FALSE))
=0)
*MOD(TRANSPOSE(FREQUENCY(vals_for_freq,vals_for_freq)),vals_to_mod)
)
(it "shortens" one array to the shortest of the pair, by creating an auxiliary array with TRUE/1s on the diagonal starting top-left and FALSE/0s elsewhere, therefore disregarding all defined values outside the square section of the array. Thus, SUMPRODUCT adds values within the diagonal of the square section which are the product of the corresponding values up to the last value of the shorter array.)

Use set of keywords to extract values from second worksheet

I'll try to explain the problem I'm facing best as I can.
A have a set of data that contains multiple duplicates extracted as an excel file. Within this data are "keys" that I want to use to filter out relevant data from another workbook.
I start by removing duplicates from the list of keywords and I think I got this working kind of satisfactory. I then try to extract and calculate the minimum from the values using the following array formula:
=MIN(VLOOKUP(Blad1!D2:D8,Blad2!A3:D9,2))
However, this doesn't work as expected. The value returns the minimum value from the target range, but seems to ignore the provided keywords. Instead it simply finds the minimum value of the entire range.
I am far from a professional when it comes to excel so any suggestions on how this could be done in a more efficient way are welcome.
Here is a link to a sample document.
These array formulas should be what you need.
'MINIF in F2,
=MIN(IF(COUNTIF($D$2:$D$8, Blad2!$A$2:$A$9&""), Blad2!$B$2:$B$9))
'MAXIF in G2
=MAX(IF(COUNTIF($D$2:$D$8, Blad2!$A$2:$A$9&""), Blad2!$C$2:$C$9))
'AVERAGEIF¹ in H2
=AVERAGE(IF(COUNTIF($D$2:$D$8, Blad2!$A$2:$A$9&""), Blad2!$D$2:$D$9))
Array formulas need to be finalized with Ctrl+Shift+Enter↵.
Try and reduce your full-column references to ranges more closely representing the extents of your actual data. Array formulas chew up calculation cycles logarithmically so it is good practise to narrow the referenced ranges to a minimum.
The results are 15, 35 and 23.6.
¹Note that this is NOT the native AVERAGEIF function or AVERAGEIFS function but an array formula. This approach was chosen due to the large number of criteria.

Nested OR with AND and IF - Excel

Simple question that I wasn't able to figure out. Trying to calculate counts and medians of arrays with a conditional that depends on numbers in two columns in Excel, as seen below.
=MEDIAN(IF(AND($D$3:$D$1216=1,OR($B$3:$B$1216=3,$B$3:$B$1216=6,$B$3:$B$1216=9,$B$3:$B$1216=12)),$M$3:$M$1216))
Please see above for the function, which I input as an array. All I'd like to do is scan Column D for all 1s and then 3/6/9/12 in Column B.
The function works but only returns zeroes for all relevant values in Column D, which I find strange.
Thank you for your help!
Is 0 in fact the most common element in $M$3:$M$1216? i.e., are a lot of those cells just blank?
When I keep the range large, but only enter a few values, I get the same result as you. When I shrink the range to something more manageable, and fill in the values, the function returns what I'd expect.
Also, here's a somewhat simpler syntax for the same result:
=MEDIAN(($D$3:$D$5=1)*OR($B$3:$B$5=3,$B$3:$B$5=6,$B$3:$B$5=9,$B$3:$B$5=12)*($M$3:$M$5))

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