Calculate Moving Average in Excel - excel

I want to calculate a moving average of the last, say 20, numbers of a column. A problem is that some of the cells of the column may be empty, they should be ignored. Example:
A
175
154
188
145
155
167
201
A moving average of the last three would be (155+167+201)/3. I've tried to implement this using average, offset, index, but I simply don't know how. I'm a little bit familiar with macros, so such a solution would work fine: =MovingAverage(A1;3)
Thanks for any tips or solutions!

{=SUM(($A$1:A9)*(ROW($A$1:A9)>LARGE((ROW($A$1:A9))*(NOT(ISBLANK($A$1:A9))),3+1)))/3}
Enter this with control+shift+enter to make it an array formula. This will find the latest three values. If you want more or less, change the two instances of '3' in the formula to whatever you want.
LARGE((ROW($A$1:A9))*(NOT(ISBLANK($A$1:A9))),3+1)
This part returns the 4th highest row number of all the cells that have a value, or 5 in your example because rows 6, 8, and 9 are the 1st through 3rd highest rows with a value.
(ROW($A$1:A9)>LARGE((ROW($A$1:A9))*(NOT(ISBLANK($A$1:A9))),3+1))
This part returns 9 TRUEs or FALSEs based on whether the row number is larger than the 4th largest.
($A$1:A9)*(ROW($A$1:A9)>LARGE((ROW($A$1:A9))*(NOT(ISBLANK($A$1:A9))),3+1))
This multiplies the values in A1:A9 by those 9 TRUEs or FALSEs. TRUEs are converted to 1 and FALSEs to zero. This leaves a SUM function like this
=SUM({0;0;0;0;0;155;0;167;201})/3
Because all the values above 155 don't satisfy the row number criterion, the get multiplied by zero.

If you are going to use a UDF it will only recalculate correctly when you change the data if the parameters include all the range of data you want to handle.
Here is a moving average UDF that handles entire columns and contains some error handling. You can call it using by entering the formula =MovingAverage(A:A,3) into a cell.
Function MovingAverage(theRange As Range, LastN As Long) As Variant
Dim vArr As Variant
Dim j As Long
Dim nFound As Long
Dim dSum As Double
On Error GoTo Fail
MovingAverage = CVErr(xlErrNA)
'
' handle entire column reference
'
vArr = Intersect(Application.Caller.Parent.UsedRange, theRange).Value2
If IsArray(vArr) And LastN > 0 Then
For j = UBound(vArr) To 1 Step -1
' skip empty/uncalculated
If Not IsEmpty(vArr(j, 1)) Then
' look for valid numbers
If IsNumeric(vArr(j, 1)) Then
If Len(Trim(CStr(vArr(j, 1)))) > 0 Then
nFound = nFound + 1
If nFound <= LastN Then
dSum = dSum + CDbl(vArr(j, 1))
Else
Exit For
End If
End If
End If
End If
Next j
If nFound >= LastN Then MovingAverage = dSum / LastN
End If
Exit Function
Fail:
MovingAverage = CVErr(xlErrNA)
End Function

Just a quick solution:
Supposing your numbers are on the cells A2:A10, put in B10 the following formula:
=IF(COUNT(A8:A10)=3,AVERAGE(A8:A10),IF(COUNT(A7:A10)=3,AVERAGE(A7:A10),"too many blanks"))
Dragging up the formula you get the moving average
If there is the possibility of two consecutive blank you could nest another if, more than that and this solution became too complicated

I have written a short script in VBA. Hopefull it does what you want. Here you are:
Function MovingAverage(ByVal r As String, ByVal i As Integer) As Double
Dim rng As Range, counter As Long, j As Integer, tmp As Double
Set rng = Range(r)
counter = 360
j = 0
tmp = 0
While j < i + 1 And counter > 0
If Len(rng.Offset(j, 0)) > 0 Then
tmp = tmp + rng.Offset(j, 0).Value
End If
j = j + 1
counter = counter - 1
Wend
MovingAverage = CDbl(tmp / i)
End Function
1) I have set limit to 360 cells. It means that the script will not look for more than 360 cells. If you want to change it then change the initial value of counter.
2) The script returns not rounded average. Change the last row to
MovingAverage = Round(CDbl(tmp / i),2)
3) The use is just like you wanted, so just type =MovingAverage("a1";3) into the cell.
Any comments are welcome.

Related

Excel/VBA - How to check the top three and if equal then check based on custom rank?

I have the following data:
Value
Percentages
Rank
A
67%
3
B
57%
4
C
43%
5
D
38%
1
E
67%
2
F
57%
6
In Excel (either formulas or VBA), how would I be able to generate a top three based on first the percentage value - and if the percentages of two or more are equal, then based on rank?
So for example 67% is found twice in column Percentages. However, the second time 67% is found it has a rank of 2, so the first value for the top three would be E and the complete top three would look like this:
1: E
2: A
3: B
I don't even have an idea to start with. I can use the =LARGE formula, but that will only give me the value of the highest and if the value is found in there multiple times, then I don't know from which one it took it. And it also doesn't take into account the custom ranking..
If you have Excel-365 then can try-
=SEQUENCE(3)&":"&INDEX(SORTBY(A2:A7,B2:B7,-1,C2:C7,1),SEQUENCE(3))
Here is a UDF that should work in most versions of Excel (tested in Excel 365). I have chosen to avoid sorting and just repeatedly find the maximum subject to the two conditions. Assumes all percentages and ranks are positive values but can tolerate blank rows.
Function ListTopValues(r As Range, Optional topN As Integer = 3)
Dim arr() As Variant, used() As Boolean
Dim percent As Double, rank As Double
Dim maxPercent As Double, maxRank As Double
Dim value As String, maxValue As String, result As String
Dim rows As Long, n As Long, i As Long, u As Long
' Transer range to array
rows = r.rows.Count
ReDim used(rows)
arr = r.value
' Loop over number of values required
For n = 1 To topN
maxValue = ""
maxRank = 0
maxPercent = 0
u = 0
' Loop over rows of data
For i = 1 To rows
value = arr(i, 1)
percent = arr(i, 2)
rank = arr(i, 3)
' Check if row already used and copy maximum so far
If Not used(i) Then
If percent > maxPercent Or percent = maxPercent And rank < maxRank Then
maxPercent = percent
maxRank = rank
maxValue = value
u = i
End If
End If
Next i
If maxValue <> "" Then _
result = result & maxValue & ","
If u > 0 Then used(u) = True
Next n
If Len(result) > 0 Then _
result = Left(result, Len(result) - 1)
ListTopValues = result
End Function

Finding multiple combinations of sums in Excel

Ive been trying to make something in Excel to find multiple combinations of sums.
I have list of numbers that needs to be added together to be either within ranges of 500-510 or 450-460.
Only two numbers from the list can be used to find the sum. the numbers can not be used more than once. and giving the combinations of multiple results would be great. and if a number is not used it is ok.
I've tried the solver add-in and some other tips I found from this site but could not find something that gives multiple answers.
Does anyone know if this will be possible?
I'd break this into 2 tasks. First would be to simply generate all of the index pairs to test in the input array. That's relatively simple with recursive procedure. This one uses a private Type to store the pairs, but it could adapted to use some other method of storing the pairs:
Private Type Tuple
ValueOne As Long
ValueTwo As Long
End Type
Private Sub FindCombinations(elements As Long, ByRef results() As Tuple, _
Optional ByVal iteration As Long = 0)
If iteration = 0 Then ReDim results(0)
Dim idx As Long
For idx = iteration To elements - 1
Dim combo As Tuple
With combo
.ValueOne = iteration
.ValueTwo = idx
End With
results(UBound(results)) = combo
If iteration <> elements And idx <> elements Then
ReDim Preserve results(UBound(results) + 1)
End If
Next
If iteration < elements Then FindCombinations elements, results, iteration + 1
End Sub
Then, you use a "entry-point" procedure to generate the index combinations, use those to index into your source array, and apply your selection criteria:
Private Sub FindMatchingSets(testSet() As Long)
Dim indices() As Tuple
FindCombinations UBound(testSet) + 1, indices
Dim idx As Long, results() As Tuple
For idx = LBound(indices) To UBound(indices)
Dim tupleSum As Long
tupleSum = testSet(indices(idx).ValueOne) + testSet(indices(idx).ValueTwo)
If indices(idx).ValueOne <> indices(idx).ValueTwo And _
((tupleSum >= 500 And tupleSum <= 510) Or _
(tupleSum >= 450 And tupleSum <= 460)) Then
Debug.Print testSet(indices(idx).ValueOne) & " + " & _
testSet(indices(idx).ValueTwo) & " = " & tupleSum
End If
Next
End Sub
It isn't clear what you intend to do with the results, so this simply outputs the calculated values to the Immediate Window. Example calling code:
Private Sub Example()
Dim test(4) As Long
test(0) = 100
test(1) = 200
test(2) = 250
test(3) = 260
test(4) = 400
FindMatchingSets test
End Sub
May modify it according to your need & try
Sub test()
Dim X, Y, TRw, GotNum, First, Second As Long
TRw = 1
With ThisWorkbook.ActiveSheet
For X = 1 To 100 ' assumed col A1 to A100 is the list
GotNum = .Cells(X, 1).Value
If (GotNum >= 450 And GotNum <= 460) Or (GotNum >= 500 And GotNum <= 510) Then
.Cells(X, 1).Font.Color = RGB(255, 0, 0)
First = GotNum
For Y = X + 1 To 100
GotNum = .Cells(Y, 1).Value
If (GotNum >= 450 And GotNum <= 460) Or (GotNum >= 500 And GotNum <= 510) Then
Second = GotNum
TRw = TRw + 1
.Cells(TRw, 3).Value = First ' write 1st Number in Col C
.Cells(TRw, 4).Value = Second ' write 2nd Number in Col D
.Cells(TRw, 5).Value = First + Second ' write Sum of 1st & 2nd in Col C
End If
Next Y
End If
Next X
End With
End Sub
I think your question needs to be a little clearer in terms of what your expected output is (do you want a list of combos, or just to see the results?), but here's my solution.
I've put a list of 20 numbers in column Y, and assigned them all a letter (a through to t) in column X
Then I've built a matrix of the combinations of a to t, and have entered the following formula (the below is for cell C3, but it can be copied and pasted into all parts of the matrix)
=IF(C$2=$B3,"x",VLOOKUP(C$2,$X:$Y,2,FALSE)+VLOOKUP($B3,$X:$Y,2,FALSE))
I've then used conditional formatting to set the colour of the cells if they meet your criteria for the sum - you can do this by highlighting all the sums (cell C3:V22) and going to
home / conditional formatting / new rule...
picking the rule type format only cells that contain
and then in the drop down menus picking Cell Value / Between / Your high range
and then selecting a format (fill background colour, usually)
Do this once for the "high" sum, and once for the "low" sum. You can make the colours the same or different, depending on what you want to see.
I've also for reference included a reference to what the number is in Row 1 and column A. The formula for row 1 is (example is for C1, but it can be copied across)
=VLOOKUP(C2,$X:$Y,2,FALSE)
And the formula for column A is (example for A3) =VLOOKUP(B3,$X:$Y,2,FALSE)
The advantage of this approach is that it's all in excel (no code required), but the disadvantage is that it's hard to get a list of results. You could use a different formula to just return the sum (e.g. return the text "205+298") when it meets one of the conditions, but then it's still a pain to get it out of the matrix format and into a single list. Much easier using VBA

Find first four cells in a row

I am trying to find the first four cells along a row that contain values and the type is Double. I want to add the values of the cells to an array and also locate the cells locations for future use. I need to work down 23 rows after as well. Some of the rows don't contain any values. The matrix starts with cell AB3
I've been trying to start with a For loop so I can work down the rows and then having a For loop inside that to create a new array every time I move to a new row.
The code I need looks something like this.
For i = 3 to 27
For j = 0 to 3
TIGA(j) = Range(Cells(i, j + 28), Cells(last cell)).Find(first
value and then the next three)
Again I need to work across from left to right in each row. First I need to add the first four values in a row to an array. Next I need to save the column number for each of the values because I need to know what column they're in later on in my code. After I get the information for one your I need to loop it down for the rest. The array with the values and any variable/array used for the cells location can be restarted every time the code loops through for the new row. Thank you!
Here's what's the data looks like.
I changed things up a bit, I think this should suffice:
Sub Test()
Dim TIGA As Variant, i As Long, j As Long, k As Long
ReDim TIGA(0 To 3)
For i = 3 To 27
k = 0
For j = 28 To 40
If Cells(i, j) <> "" Then
If IsNumeric(Cells(i, j)) = True And InStr(Cells(i, j), ".") > 0 Then 'make sure it's a double
TIGA(k) = Cells(i, j)
k = k + 1
If k = 3 Then
Exit For
End If
End If
End If
Next j
Next i
End Sub

Symmetric expressions in excel matrix

I sometimes work with symmetric matrices in MS-Excel (both v2007 and v2003).
Is there an option to help me to copy expressions from the lower triangle to the upper one?
It should be something like copy and paste/transponse but those functions normally work only with rectangular areas.
in the added picture you can see an exemple of an expression that I have to replicate by linking the symmetric value in the superior triangle of the matrix.
To get the number in the appropriate cell, we can use OFFSET and the cell address the forms the base of the table. Note that the formula will produce a *Circular Reference` error if entered in on the diagonal. The formula will work for both sides of the diagonal - you just have to decide which one will hold the data, and which will hold the formula.
Offset takes Row and Column to decide the target. By subtracting the base cell row and column from the current position, we can invert the row and columns, and get the data.
Using your example, with the origin of the table in B2, we end up with the following formula:
=OFFSET($B$2,COLUMN()-COLUMN($B$2),ROW()-ROW($B$2))
you can copy this formula into the cells, and get the reflection. Now you have the number, you can do any calculation you require on the reflection. Using your example, this would make the formula:
=10-OFFSET($B$2,COLUMN()-COLUMN($B$2),ROW()-ROW($B$2))
Result:
Using INDEX to make it non volatile would change the formula slightly. First, we would need a reference to the entire table, not just the top cell. Second, we would need to add 1 to the row/column calculation, as it refers to the first cell as row/column 1, not an offset of 0 as the previous formula.
=INDEX($B$2:$K$11,COLUMN()-COLUMN($B$2)+1,ROW()-ROW($B$2)+1)
and your example of 10-Cell would become:
=10-INDEX($B$2:$K$11,COLUMN()-COLUMN($B$2)+1,ROW()-ROW($B$2)+1)
As one of the above answers demonstrates, this can be done by using Excel formulas. I however find this to be a very tedious procedure. Especially if this is something you need to do on a regular basis. In that case VBA could save you a lot of time.
The following code will work on a square selection and fill the rest of the matrix no matter if it is the lower- or upper part of the matrix that is pre-filled.
Option Explicit
Sub FillSymetricMatrix()
Dim i As Integer, j As Integer
Dim SelRng As Range
Dim FillArea As String
Dim FRow As Integer
Dim FCol As Integer
Set SelRng = Selection
FRow = SelRng.Rows(1).Row
FCol = SelRng.Columns(1).Column
'Returns information about which area to fill
If ActiveSheet.Cells(FRow + SelRng.Rows.Count - 1, FCol).Value <> vbNullString Then 'Lower filled
If ActiveSheet.Cells(FRow, FCol + SelRng.Columns.Count - 1).Value = vbNullString Then 'Upper empty
FillArea = "Upper"
Else
FillArea = "Error"
End If
Else
If ActiveSheet.Cells(FRow, FCol + SelRng.Columns.Count - 1).Value <> vbNullString Then 'Upper filled
FillArea = "Lower"
Else
FillArea = "Error"
End If
End If
'Determines if the selection is square
If SelRng.Rows.Count <> SelRng.Columns.Count Then FillArea = "Error"
'Fills empty area of the square (symetric) matrix
Select Case FillArea
Case Is = "Upper"
For i = 0 To SelRng.Rows.Count - 1 Step 1
For j = 0 To SelRng.Columns.Count - 1 Step 1
If i <= j Then ActiveSheet.Cells(i + FRow, j + FCol).Value = ActiveSheet.Cells(j + FRow, i + FCol).Value
Next j
Next i
Case Is = "Lower"
For i = 0 To SelRng.Rows.Count - 1 Step 1
For j = 0 To SelRng.Columns.Count - 1 Step 1
If i <= j Then ActiveSheet.Cells(j + FRow, i + FCol).Value = ActiveSheet.Cells(i + FRow, j + FCol).Value
Next j
Next i
Case Else
MsgBox "The procedure cannot be performed on the current selection!"
End Select
End Sub
I guess what you need is a function which returns the "diagonal" value of a square matrix, e.g. for any X(j,k) return X(k,j)
Try this:
Function DIAGONAL(Arg As Range, Reference As Range) As Variant
Dim MyRow As Long, MyCol As Long
If Reference.Rows.Count <> Reference.Columns.Count Then
DIAGONAL = CVErr(xlErrRef)
Else
MyRow = Arg.Row - Reference.Row + 1
MyCol = Arg.Column - Reference.Column + 1
If MyRow < 1 Or MyCol < 1 Or MyRow > Reference.Rows.Count Or MyCol > Reference.Columns.Count Then
DIAGONAL = CVErr(xlErrNA)
Else
DIAGONAL = Reference(MyCol, MyRow)
End If
End If
End Function
once you entered this function in VBA, you can use it inside or outside your square matrix ... you just need to ensure that your argument (parameter: Arg) is within the matrix (parameter: Reference) ... or you get an #N/A error. Or you get a #REF error if the matrix isn't square.
So in your example you would enter into B4: =10-DIAGONAL(B4,$B$2:$K$11) and copy this throughout the lower triangle.
You can even transpose a complete matrix ... in your screen shot, move to cell B13, enter =DIAGONAL(B2,$B$2:$K$11) and copy 9x down & right
No buttons, no need to explicitely start a Sub ... any size of n x n matrix, handles strings and numbers, ...
Here is an example with VBA. Start with an un-filled table and a button.
Then make the button run the code:
Option Explicit
Private Sub symmButton_Click()
MakeSymmetric Range("B2")
End Sub
Public Sub MakeSymmetric(ByRef r As Range)
Dim M As Long
M = CountCols(r)
Dim vals() As Variant
vals = r.Resize(M, M).Value2
Dim i As Long, j As Long
For i = 2 To M
For j = 1 To i - 1
vals(i, j) = vals(j, i)
Next j
Next i
r.Resize(M, M).Value2 = vals
End Sub
Public Function CountCols(ByRef r As Range) As Long
If IsEmpty(r) Then
CountCols = 0
ElseIf IsEmpty(r.Offset(0, 1)) Then
CountCols = 1
Else
CountCols = r.Worksheet.Range(r, r.End(xlToRight)).Columns.Count
End If
End Function
and finally observe the results
Similar to Sean's solution, I would also use formulas. In order to get the transposed value, use this formula:
=INDEX($B$2:$G$7,COLUMN()-COLUMN($B$2)+1,ROW()-ROW($B$2)+1)
If you want to do a more complex operation (e.g. =10-[transposedValue]), I'd recommend you use a named range: Insert a new name, e.g. TransposedValuein the Name Manager. Instead of a cell link, provide the above formula. Now you can literally write the following formula in your matrix:
=10-TransposedValue
I have this way. As you said copy paste transpose work on rectangular range. And your problem is that you have a triangular range.
You will love this....
1). Select the square range containing your upper triangular matrix and Copy.
2). Select a cell in an empty place and do the following two steps
a.) Paste Special - Values
b.) Paste Special - Values - Transpose - Skip Blanks
And you have got your symmetric matrix :-)
Anil.
Mixing together Ja72's fill code with SeanC c's Excel function code, I think I can make a generic matrix template that is properly prefilled with the dynamic Excel formula. So dynamic, and can be reused without any copy and paste.
Public Sub MakeSymmetric(ByRef r As Range)
Dim M As Long
M = 300
' Was CountCols(r), but I just limited to 300 columns for now
Dim vals() As Variant
vals = r.Resize(M, M).Value2
Dim i As Long, j As Long
For i = 2 To M
For j = 1 To i - 1
vals(j, i) = "=OFFSET($B$2,COLUMN()-COLUMN($B$2),ROW()-ROW($B$2))"
Next j
'Make diagonal down the middle show ---
vals(j, i) = "---"
Next i
vals(1, 1) = "---"
r.Resize(M, M).Value2 = vals
End Sub
Sub FillSymmetric()
MakeSymmetric Range("B2")
End Sub
I don't really know any VB though, so I haven't quite figured out how to fill the header yet. I don't know Stackoverflow yet either, but I will try to add a picture.
Original List to Matrixize
Dynamically transposing values typed in SouthWest half to NorthEast half
Short answer: INDIRECT(ADDRESS(COLUMN(D2), ROW(D2)))
Explnation: you may remember we use coordinates with numbers to represent a location in Cartesian Coordinates System. So, it's easy to get a diagonal symmetric value e.g. just change (2, 3) to (3, 2).
But in Excel, we need a wordaround if we want to do so. Because, address is marked by a combination of a letter and a digit, say B2. You can't just change B2 to 2B.
Luckily, we can still use numbers to represent a cell by leveraging the power of COW() and COLUMN().
In the image below, C2 and B3 are symmetrical. This shows how to put the value of C2 to B3.
Making the formula from C.W. more generic (similar to Peter Albert), this will help when your matrix is not starting at A1 but e.g. in C10:
=INDIRECT(ADDRESS(COLUMN(C11)-COLUMN($C$10)+1,ROW(C11)-ROW($C$10)+1))
So, subtract the origin row/column and add 1.

Excel Geomean returns #value! sometimes?

I've modified the vba function below to suit my needs.
I have many workbooks with sheets that contain 4500+ rows, and I use the function to search for two given values (as boundaries). Then, it selects the rows as the range. Finally, do whatever on that range. The function:
Function GeoM(A, B)
Application.Volatile
Dim x As Integer
Dim y As Integer
Dim rng As Range
x = Application.WorksheetFunction.Match(A, Range("B:B"), 0) ' looking in col B
y = Application.WorksheetFunction.Match(B, Range("B:B"), 0) ' looking in col B
Set rng = Range(Cells(x, 18), Cells(y, 18)) 'Im working on col 18
GeoM = Application.WorksheetFunction.GeoMean(rng)
End Function
The problem is, this code works just fine except with GeoMeann. I noticed when the range of data is relatively small (number of data cells) it returns a value. However, if the range is larger than approx. 126 cells, it returns #value!.
I'm stuck and working on solving this issue. Is the GeoMean function limited to a given number of data?
Thanks
There appears to be a 170 character limit on my testing for earlier Excel versions (I tested in xl03), validated in this Mr Excel thread
(Xl10 worked fine on the longer dataset)
I also tried:
Using Evaluate
Using a 1D array
failed samples
Dim X
Set rng1 = Range("A1:A171")
MsgBox Evaluate("GeoMean(A1:A171)")
X = Application.Transpose(rng1)
MsgBox Application.WorksheetFunction.GeoMean(X)
to no avail.
So I think your two workarounds are either:
Inserting a formula via VBA into Excel and using this result
As per the MrExcel thread use the derivation of GeoMean, ie =EXP(AVERAGE(LN(Range)))
Suggested Approach
MsgBox Evaluate("EXP(AVERAGE(LN(A1:A171)))")
Thanks to brettdj, I fixed the function and it works now:
Function GeoM(A, B)
Application.Volatile
Dim x As Integer
Dim y As Integer
Dim rng As Range
Dim LnValue As Double
Dim count As Integer
x = Application.WorksheetFunction.Match(A, Range("B:B"), 0) 'look in col. B
y = Application.WorksheetFunction.Match(B, Range("B:B"), 0) 'look in col. B
Set rng = Range(Cells(x, 18), Cells(y, 18)) 'set range of rows on col# 18
Do
LnValue = LnValue + Math.Log(Cells(x, 18)) 'calculates sum of ln(value)
x = x + 1
count = count + 1 'calculates the total number of values
Loop Until x > y 'stop when x (upper row#) is greater than y (lower row#)
GeoM = Math.Exp((1 / count) * LnValue) 'GeoMean formula
End Function
This function searches a specified column for two values as upper and lower limits (Note: that means you shouldn't have repeated values in that column. In another words, the column should have unique values). Then, it finds the GeoMean of the values on other column, which has values fall in the same range of rows.

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