Two-Way Input Page

Enter the data in the textarea provided below, or input file containing the data. For the input, assume that the two factors are A and B, then the input format is y i j k i j, where y i j k is the kth observation in the ith level of factor A and the jth level of factor B and i and j represent the ith and jth levels of factor A and B respectively.

There is also a field where a name can be given to factor A and to factor B. If a name is not provided the default will be Factor A and Factor B.

The following contrasts are available:

For user specified contrasts, each row must sum to zero (otherwise contrasts won't be calculated) and the coeffiecients in each row must be in the order mu11 .. mu1b mu21 .. mu2b .. mua1 .. muab, where there are b levels of the second factor and a levels of the first factor.

An example input data set is provided below the submit button.

Data Input
File containing data for analysis:
Enter a label for the factors, separated by a space:
Cell Locations Based On:
Cell Medians
Hodges-Lehmann type Estimate
Contrasts Available:
All Main Effect Differences
Main Effect vs Control A Control B Control
User Specified Enter contrasts below:
Interval Types Available:
Fisher's Protected LSD
Data Plots Available:
Profile Plot using Wilcoxon Estimates
Profile Plot using Least Squares Estimates
Residual Plots Available:
R Fits vs R Residuals
Boxplot, Dotplot and Histogram of R Residuals
Q-Q Plot of R Residuals Quantile:
Studentized Residual Plots Available:
R Fits vs R Studentized Residuals
Boxplot, Dotplot and Histogram of R Studentized Residuals
Q-Q Plot of R Studentized Residuals Quantile:
Example input data set:
8 1 1
9 1 2
10 2 3
11 1 1
12 2 2
14 1 2
6 1 3
7 2 1
8 1 1
9 1 3
15 2 1
10 2 2
6 2 3
12 2 3

There are two factors, the first factor has two levels and the second factor has three levels. The observations for each factor level combination are listed in the table below.
Factor AFactor BObservations
11 8, 8, 11
12 9, 14
13 6, 9
21 7, 15
22 10, 12
23 10, 12