Two-Way Repeated Analysis of Variance

Statistics > ANOVA > Two-Way R

 

Performs a balanced two-way analysis of variance with repeated measures on one factor.

 

Dialog box items

Response:
Enter the column containing the response variable.

Repeated Factor:
Enter the repeated factor level columns.

Nonrepeated Factor:
Enter the nonrepeated factor level column

Report:
The display of outputs of VisualStat.

 

Data

The response variable must be numeric and in one column. You must have a single factor level column for each of the two factors. These can be numeric, or text.

 

Charts

Displays a histogram, a histogram with a normal curve, and a boxplot.

Histogram:
Choose to display a histogram for each variable

Histogram with Normal Curve:
Choose to display a histogram with a normal curve for each variable

Boxplot of data:
Choose to display a boxplot for each variable

Options:
Choose the options you want.

oExclude missing values: Check to excludes rows that have missing values.

oInverted Bar: Check to reverse the axes.

 

Options

Display means for Repeated Factor:
Check to compute marginal means and confidence intervals for each level of the row factor

Display means for Nonrepeated Factor:
Check to compute marginal means and confidence intervals for each level of the column factor

Alternative Hypothesis:
Enter Two-sided, Upper One-sided, or Lower One-sided. If you choose an One-sided hypothesis test, an upper or lower confidence bound will be constructed, respectively, rather than a confidence interval.

Confidence Level:
Enter the level of confidence desired. Enter any number between 0 and 100. Entering 90 will result in a 90% confidence interval. The default is 95%.

 

Example

The file contains data for a test for contamination of surgical scrub suits. One group of workers changed their scrub suit at lunch, while the other group wore a surgical gown to lunch and did not change their scrub suits. Bacterial contamination level of the scrub suits was measured at 3 times during the worker's shifts. The non repeated factor is the scrub suit group (change or not change), the repeated factor is time.

1.Open the DataBook anova.vstz

2.Select the sheet scrub

3.Choose the tab Statistics, the group Anova and the command Two-Way R

4.In Response, select BacteriaCount. In Repeated Factor, select Time. In Nonrepeated Factor, select ScrubSuit.

5.Click Options page

6.Check Display means for Repeated Factor and check Display means for Nonrepeated Factor

7.Click OK

 

Report window output

 

Two-Way Repeated Analysis of Variance

 

-=-=-=-= BacteriaCount / Time / ScrubSuit =-=-=-=-

 

ANOVA TABLE

             df  SumOfSquares  Mean Square          F          P

Time           3     4595.8421    1531.9474    25.9278     0.0000

Subjects      36     2809.9737      78.0548  

ScrubSuit      1      301.2895     301.2895     3.8600     0.0572

Interaction    3     4282.9737    1427.6579    24.1628     0.0000

Error        108     6381.1842      59.0850  

Total        151    18371.2632      

 

 

Time       N     Mean    StDev  SE Mean   Effect  95% LCL  95% UCL  Minimum  Maximum

AL        38  17.0526   9.7203   1.5768  -3.6579  13.8577  20.2476   4.0000  35.0000

BL        38  18.4737   6.2805   1.0188  -2.2368  16.4093  20.5380   6.0000  30.0000

ES        38  30.1842  14.0171   2.2739   9.4737  25.5769  34.7915   4.0000  69.0000

SS        38  17.1316   6.4731   1.0501  -3.5789  15.0039  19.2592   6.0000  38.0000

<total>  152  20.7105  11.0301   0.8947   0.0000  18.9429  22.4782   4.0000  69.0000

 

 

ScrubSuit    N     Mean    StDev  SE Mean   Effect  95% LCL  95% UCL  Minimum  Maximum

New         76  19.3026  13.8208   1.5854  -1.4079  16.1444  22.4608   4.0000  69.0000

Same        76  22.1184   7.0653   0.8105   1.4079  20.5039  23.7329   6.0000  38.0000

<total>    152  20.7105  11.0301   0.8947   0.0000  18.9429  22.4782   4.0000  69.0000

 

 

 

 

See Also:


Report | Numeric Formats