Two-Way ANOVA

Two-Factor ANOVA with Repeated Measures on One Factor

	Col 1	Col 2	Col 3
Row 1	subj. R1,1 measure 1 subj. R1,2 measure 1 etc.	subj. R1,1 measure 2 subj. R1,2 measure 2 etc.	subj. R1,1 measure 3 subj. R1,2 measure 3 etc.
Row 2	subject R2,1 measure 1 subject R2,2 measure 1 etc.	subject R2,1 measure 2 subject R2,2 measure 2 etc.	subject R2,1 measure 3 subject R2,2 measure 3 etc.

This page will perform a two-way factorial analysis of variance for designs in which there are 2-4 randomized blocks of matched subjects, with 2-4 repeated measures for each subject. The programming assumes that each row includes a separate set of matched subjects and that the repeated measures occur within the rows and across the columns. Thus, with 2 rows and 3 columns, the 3 cells of Row 1 represent 3 correlated sets of measures for the subjects in Row 1; and the 3 cells of Row 2 represent 3 correlated sets of measures for the subjects in Row 2.

Procedure:

Initial Setup:_T
Enter the number of rows and columns in your analysis into the designated text fields, then click the 'Setup' button._T
Entering Data Directly into the Text Fields:_T
After clicking the cursor into the scrollable text area for row1/column1, enter the values for that sample in sequence, pressing the carriage return key after each entry except the last. (On a Macintosh platform, the carriage return key is labeled 'Return'; on a Windows platform it is labeled 'Enter.') Perform the same procedure for the other samples in your analysis._T
Importing Data via Copy & Paste:_T
Within the spreadsheet application or other source of your data, select and copy the column of data for row1/column1. Then return to your web browser, click the cursor into the text area for row1/column1 and perform the 'Paste' operation from the 'Edit' menu. Perform the same procedure for the other samples in your analysis._T
Data Check:_T
For each sample, make sure that the final entry is not followed by a carriage return. (A carriage return after the final entry in a sample will be interpreted as an extra data entry whose value is zero. Importing data via the copy and paste procedure will almost always produce an extra carriage return at the end of a column.) After all values for a sample have been entered, click the cursor immediately to the right of the final entry in the list, then press the down-arrow key. If an extra line is present, the cursor will move downward. Extra lines can be removed by pressing the down arrow key until the cursor no longer moves, and then pressing the 'Backspace' key (on a Mac platform, 'delete') until the cursor stands immediately to the right of the final entry._T
For a correlated- samples analysis, it is esential that the values within each cell be entered in the correct sequence and that the active cells in each row contain the same number of entries. The programming for the page assumes that each active cell within a row contains the same number of entries as the first cell in that row. If you are working on a Macintosh platform, you can check the accuracy of your data entry by clicking the button labeled «Data Check» (The data-check feature does not work with Windows.)_T
When all sample values have been entered, click the button labeled «Calculate».

_QNumber of rows in analysis = Number of columns in analysis =
Data Entry
	Col 1	Col 2	Col 3	Col 4
Row 1
Row 2
Row 3
Row 4

n for Cells, Rows, Columns, and Total
	Col 1	Col 2	Col 3	Col 4	Totals
Row 1
Row 2
Row 3
Row 4
Totals

Means for Cells, Rows, Columns, and Total
	Col 1	Col 2	Col 3	Col 4	Totals
Row 1
Row 2
Row 3
Row 4
Totals

ANOVA Summary
A = groups: the between-subjects variable delineated by the rows B = the repeated-measures variable delineated by the columns
Source	SS	df	MS	F	P
Between Subjects
A
Subjects within A
Within Subjects
B
A x B
B x Subjects within A
TOTAL