Non-Parametric ANOVA Report

Case Summary

Model: weight ~ group + plot

Data.Used No.
Number of cases read 30
Number of cases used in analysis 30
Number of incomplete cases (omitted) 0

Response Variable Summary

Model: weight ~ group + plot

Count NAs (Missings)
30 0

Effect: group

group Count NAs (Missings)
ctrl 10 0
trt1 10 0
trt2 10 0

Effect: plot

plot Count NAs (Missings)
A 15 0
B 15 0

Boxplot:
weight ~ group + plot

Boxplot for Two-Way

Friedman (Non-Parametric) Analysis of Variance Table

There are 5 observations of weight for each combination of levels of group and plot.
The mean value for each combination level is used since Friedman Test requires one observation for each combination.

Model: weight ~ group + plot

Method Observed Chi-Squared df p-value BFB
Friedman rank sum test 4 2 0.135335 1.35914

Response is not significant different at 5% significance level.

Friedman (Non-Parametric) ANOVA P-value Graph

H0: The response for all treatment levels (groups) are the same across the subjects/blocks

Density Graph

Response is not significant at 5% significance level.

Two-way Permutation Test

There are 5 observations of weight for each combination of levels of group and plot.
The mean value for each combination level is used since Permutation Test requires one observation for each combination.

Model: weight ~ group + plot

Method Observed Chi-Squared p-value BFB
Permutation Friedman Chi-square 4 0.161 1.25111

Response is not significant different at 5% significance level.

Two-way Permutation Test P-value Graph

  ,  The graph shows the distribution of  simulated    ,  Observed Chi-squared Value = 4 , P-value = 0.161 , Critical boundary for alpha = 0.05% , Critical values = (-Inf, 4) , Number of simulations = 1000 ,

Response is not significant at 5% significance level.