Summing multiple index match formulas - excel-formula

I am not sure if there is a cleaner way to do this, but I am wondering if it is possible to repeat an index match with multiple different look-up values?
=INDEX(Financials!$B$10:$XFD$10,MATCH('Model'!$G$2,Financials!$B$102:$XFD$102,0))
+INDEX(Financials!$B$10:$XFD$10,MATCH('Model'!$G$3,Financials!$B$102:$XFD$102,0))
+INDEX(Financials!$B$10:$XFD$10,MATCH('Model'!$G$4,Financials!$B$102:$XFD$102,0))
+INDEX(Financials!$B$10:$XFD$10,MATCH('Model'!$G$5,Financials!$B$102:$XFD$102,0))
As you can see, I am doing 4 different index match formulas on the same arrays and only changing the look-up value. Perhaps there is a way to insert an array as the look-up value. Any thoughts welcome! Thanks!

Variations:
Several methods will achieve this, depending on scope/intent (screenshot below refers, here is a shared workbook fyi):
1] =SUMPRODUCT(SUMIFS($B$10:$CB$10,$B$11:$CB$11,$G$2:$G$5))
Courtesy #ScottCraner, this 'does the job'; albeit in the spirit of creating a 'cleaner way', I prefer the following which has greater parsimony / simplicity (i.e. less 'expensive' re time/computation, easier to audit/communicate etc.) & achieves same objective/result:
2a] =SUM(B10:CB10*(G2:G5=$B$11:$CB$11))
Perhaps more intuitive is the following, slight variation to above:
2b] =SUM(IF($B$11:$CB$11=$G$2:$G$5,B10:CB10,""))
You'll struggle with the index function if you wish to sum all values for which there is a much (by the sounds of it, you do, in which case the function would take the form of a filter which would require slightly more complexity in relation to 2, but would on par with 1, assuming the Office 365 pre-requisite for filter is not an issue):
3] =SUM(FILTER(B10:CB10,ISNUMBER(MATCH($B$11:$CB$11,$G$2:$G$5,0))))
Of course, if you really want to reproduce what you have but in a 'cleaner' way, you would deploy the following:
4] =SUM(INDEX($G$13:$CG$13,MATCH(F8:F11,$G$14:$CG$14,0)))
Of course, this abstracts from being able to deal with multiple common values.

Related

How to sort rows in Excel without having repeated data together

I have a table of data with many data repeating.
I have to sort the rows by random, however, without having identical names next to each other, like shown here:
How can I do that in Excel?
Perfect case for a recursive LAMBDA.
In Name Manager, define RandomSort as
=LAMBDA(ζ,
LET(
ξ, SORTBY(ζ, RANDARRAY(ROWS(ζ))),
λ, TAKE(ξ, , 1),
κ, SUMPRODUCT(N(DROP(λ, -1) = DROP(λ, 1))),
IF(κ = 0, ξ, RandomSort(ζ))
)
)
then enter
=RandomSort(A2:B8)
within the worksheet somewhere. Replace A2:B8 - which should be your data excluding the headers - as required.
If no solution is possible then you will receive a #NUM! error. I didn't get round to adding a clause to determine whether a certain combination of names has a solution or not.
This is just an attempt because the question might need clarification or more sample data to understand the actual scenario. The main idea is to generate a random list from the input, then distribute it evenly by names. This ensures no repetition of consecutive names, but this is not the only possible way of sorting (this problem may have multiple valid combinations), but this is a valid one. The solution is volatile (every time Excel recalculates, a new output is generated) because RANDARRAY is volatile function.
In cell D2, you can use the following formula:
=LET(rng, A2:B8, m, ROWS(rng), seq, SEQUENCE(m),
idx, SORTBY(seq, RANDARRAY(m,,1,m, TRUE)), rRng, INDEX(rng, idx,{1,2}),
names, INDEX(rRng,,1), nCnts, MAP(seq, LAMBDA(s, ROWS(FILTER(names,
(names=INDEX(names,s)) * (seq<=s))))), SORTBY(rRng, nCnts))
Here is the output:
Update
Looking at #JosWoolley approach. The generation of the random sorting can be simplified so that the resulting formula could be:
=LET(rng, A2:B8, m, ROWS(rng), seq, SEQUENCE(m), rRng,SORTBY(rng, RANDARRAY(m)),
names, TAKE(rRng,,1), nCnts, MAP(seq, LAMBDA(s, ROWS(FILTER(names,
(names=INDEX(names,s)) * (seq<=s))))), SORTBY(rRng, nCnts))
Explanation
LET function is used for easy reading and composition. The name idx represents a random sequence of the input index positions. The name rRng, represents the input rng, but sorted by random. This sorting doesn't ensure consecutive names are distinct.
In order to ensure consecutive names are not repeated, we enumerate (nCnts) repeated names. We use a MAP for that. This is a similar idea provided by #cybernetic.nomad in the comment section, but adapted for an array version (we cannot use COUNTIF because it requires a range). Finally, we use SORTBY with input argument by_array, the map result (nCnts), to ensure names are evenly distributed so no consecutive names will be the same. Every time Excel recalculate you will get an output with the names distributed evenly in a different way.
Not sure if it's worth posting this, but I might as well share the results of my research such as it is. The problem is similar to that of re-arranging the characters in a string so that no same characters are adjacent The method is just to insert whichever one of the remaining characters (names) has the highest frequency at this point and is not the same as the previous character, then reduce its frequency once it has been used. It's fairly easy to implement this in Excel, even in Excel 2019. So if the initial frequencies are in D2:D8 for convenience using Countif:
=COUNTIF(A$2:A$8,A2)
You can use this formula in (say) F2 and pull it down:
=INDEX(A$2:A$8,MATCH(MAX((D$2:D$8-COUNTIF(F$1:F1,A$2:A$8))*(A$2:A$8<>F1)),(D$2:D$8-COUNTIF(F$1:F1,A$2:A$8))*(A$2:A$8<>F1),0))
and similarly in G2 to get the ages:
=INDEX(B$2:B$8,MATCH(MAX((D$2:D$8-COUNTIF(F$1:F1,A$2:A$8))*(A$2:A$8<>F1)),(D$2:D$8-COUNTIF(F$1:F1,A$2:A$8))*(A$2:A$8<>F1),0))
I'm fairly sure this will always produce a correct result if one is possible.
HOWEVER there is no randomness built in to this method. You can see if I extend it to more data that in the first several rows the most common name simply alternates with the other two names:
Having said that, this is a bit of a worst case scenario (a lot of duplication) and it may not look too bad with real data, so it may be worth considering this approach along with the other two methods.

Calculate the minimum value of each column in a matrix in EXCEL

Alright this should be a simple one.
I apologize in case it has been already solved, but I can only find posts related to solving this issue with programming languages and not specifically to EXCEL.
Furthermore, I could find posts that address a sub-problem of my question (e.g. regarding limitation of certain EXCEL functions) and should solve/invalidate my request but maybe, just maybe, there is a workaround.
Problem statement:
I want to calculate the minimum value for each column in an EXCEL matrix. Simply enough, I want to input a 2D array (mxn matrix) in a function and output an array with dimension 1xm where each item is the minimum value MIN(nj) of each nj column.
However, I want to solve this with specific constraints:
Avoid using VBA and other non-function scripting: that I could devise myself;
All in one function: what I want to achieve here is to have one and one function only, not split the problem into multiple passages (such as for example copypasting a MIN() function below each column, that wouldn't do it);
The result should be a transposable array (which is already ok, I assume);
Where I am stranded with my solution so far:
The main issue here is that any function I am trying to use takes the entire matrix as a single array input and would calculate the MIN() of the entire matrix, not each column. My current (not working) function for an exemplary 4x4 matrix in range A1:D4 would be as below (the part in bold is where it is clearly not working):
=MIN(INDEX(A1:D4,SEQUENCE(4,4,1,1)))
which ofc does not work, because INDEX() does probably not "understand" SEQUENCE() as an array of items to take into account. Another, not working, way of solving this is to input a series of ranges (A1:A4;B1:B4;C1:C4;D1:D4) so that INDEX() "understands" the ranges as single columns, but ofc does not know and I do not know sincerely how to formulate that. I could use INDIRECT() in some way to reference the array of ranges, but do not know how and could find a way by searching online.
Fundamental question is: can a function, which works with single arrays, also work with multiple arrays? Basically, I do not know how to communicate an EXCEL array formula, that each batch of data I am inputting is a single array and must be evaluated separately (this is very easily solved with for() cycles, I know).
Many thanks for any suggestion and any workaround, any function and solution works as longs as it fits in the constrains defined above (maybe a LAMBA() function? don't know).
This is ofc a simplification of a way more complex problem (I am trying to calculate the annual mean temperature evolution for a specific location by finding the value - for each year from 1950 to 2021 - that is associated to the lat/lon coordinates that are the nearest to the one of the location inputted, given a netCDF-imported grid of time-arrayed data; the MIN() function is used to selected the nearest location, which is then used, via INDEX() to find temp data). I need to do this in one hit (meaning just pasting the function, which evaluates a matrix of data that is referenced by a fixed range), so that I can just use it modularly for other data sets. I already have a working solution, which is "elegant"* enough, but not "elegant"* as the one I could develop solving this issue.
*where "elegant"= it saves me one click every time for 1000+ datasets when applying the function.
If I understand your problem correct then this should solve it:
=BYCOL(A1:D4,LAMBDA(d,MIN(d)))

Excel's LAMBDA with a "kind of" composite function

Ever since I learnt that Excel is now Turing-complete, I understood that I can now "program" Excel using exclusively formulas, therefore excluding any use of VBA whatsoever.
I do not know if my conclusion is right or wrong. In reality, I do not mind.
However, to my satisfaction, I have been able to "program" the two most basic structures of program flow inside formulas: 1- branching the control flow (using an IF function has no secrets in excel) and 2- loops (FOR, WHILE, UNTIL loops).
Let me explain a little more in detail my findings. (Remark: because I am using a Spanish version of Excel 365, the field separator in formulas is the semicolon (";") instead of the comma (",").
A- Acumulator in a FOR loop
B- Factorial (using product)
C- WHILE loop
D-UNTIL loop
E- The notion of INTERNAL/EXTERNAL SCOPE
And now, the time of my question has arrived:
I want to use a formula that is really an array of formulas
I want to use an accumulator for the first number in the "tuple" whereas I want a factorial for the second number in the tuple. And all this using a single excel formula. I think I am not very far away from succeeding.
The REDUCE function accepts a LET function that contains 2 LAMBDAS instead of a single LAMBDA function. Until here, everything is perfect. However, the LET function seems to return only a "single" function instead of a tuple of functions
I can return (in the picture) function "x" or function "y" but not the tuple (x,y).
I have tried to use HSTACK(x,y), but it does not seem to work.
I am aware that this is a complex question, but I've done my best to make myself understood.
Can anybody give me any clues as to how I could solve my problem?
Very nice question.
I noticed that in your attempts you have given REDUCE() a single constant value in the 1st parameter. Funny enough, the documentation nowhere states you can't give values in array-format. Hence you could use the 1st parameter to give all the constants in (your case; horizontal) array-format, and while you loop through the array of the 2nd parameter you can apply the different types of logic using CHOOSE():
=REDUCE({0,1},SEQUENCE(5),LAMBDA(a,b,CHOOSE({1,2},a+b,a*b)))
This way you have a single REDUCE() function which internal processes will update the given constants from the 1st parameter in array-form. You can now start stacking multiple functions horizontally and input an array of constants, for example:
=REDUCE({0,1,100},SEQUENCE(5),LAMBDA(a,b,CHOOSE({1,2,3},a+b,a*b,a/b)))
I suppose you'd have to use {0\1} and {1\2} like I'd have to in my Dutch version of Excel.
Given your accumulator:
Formula in A1:
=REDUCE(F1:G1,SEQUENCE(F3),LAMBDA(a,b,CHOOSE({1,2},a+b,a*b)))

Can I use MINIFS or INDEX/MATCH on two non-contiguous ranges...?

Problem is straightforward, but solution is escaping. Hopefully some master here can provide insight.
I have a big data grid with prices. Those prices are ordered by location (rows) and business name (cols). I need to match the location/row by looking at two criteria (location name and a second column). Once the matching row is found (there will always be a match), I need to get the minimum/lowest price from two ranges within the grid.
The last point is the real challenge. Unlike a normal INDEX or MINIFS scenario, the columns I need to MIN aren't contiguous... for example, I need to know what the MIN value is between I4:J1331 and Q4:U1331. It's not an intersection, it's a contiguous set of values across two different arrays.
You're probably saying "hey, why don't you just reorder your table to make them contiguous"... not an option. I have a lot of data, and this spreadsheet is used for a bunch of other stuff. So, I have to work with the format I have, and that means figuring out how to do a lookup/min across multiple non-contiguous ranges. My latest attempt:
=MINIFS(AND($I$4:$J$1331,$K$4:$P$1331),$B$4:$B$1331,$A2,$E$4:$E$1331,$B2)
Didn't work, but it should make it more clear what I'm trying to do. There has GOT to be an easy way to just tell excel "use these two ranges instead of one".
Thanks,
Rick
Figured it out. For anyone else who's interested, there doesn't seem to be any easy way to just "AND" arrays together for a search (Hello MS, backlog please). So, what I did instead was to just create multiple INDEX/MATCH arrays inside of a MIN function and take the result. Like this:
MIN((INDEX/MATCH ARRAY 1),(INDEX/MATCH ARRAY 2))
They both have identical criteria, the only difference is the set of arrays being indexed in each function. That basically gives me this:
MIN((match array),(match array))
And Min can then pull the lowest value from either.
Not as elegant as I'd like... lots of redundant code, but at least it works.
-rt

Vlookup returning incorrect values

I have this formula =VLOOKUP(D86,'Project Scoring'!D:O, 12, TRUE). For some reason it throws back incorrect values but not always.
I am wondering if there is a better way to do this with index/match? Attached are screenshots to help.Change Log Project Scoring
TRUE will give an approximate match - it sounds like you want an exact match which means passing FALSE as the final argument.
If you do in fact mean to use an approximate match, then you need to ensure that your data is ordered in a proper way for the approximate match to work.
EDIT: Looking at your data, you have multiple values in a single cell where your lookup data is concerned. VLOOKUP is not designed to be used for this purpose. You're best looking at using INDEX/MATCH and using a wildcard (*) in your match statement. Again, there is a chance that this could also return false positives.
The underlying problem here isn't necessarily down to your "weapon of choice" but rather that your data isn't designed in a way that can be easily processed by formulas because you technically have "one-to-many" relationships between cells. In this case, something like a Pivot table or a "proper" table might be a better design for you to consider.

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