ANOVA Report

Data Summary

Model: weight ~ group + plot
Model: fixed effect
Data: Balanced

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

Count Summary

Model: weight ~ group + plot
Response Variable: weight

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

ANOVA Table

Model: weight ~ group + plot
H0: The means for all levels are equal

Source DF Sum of Squares Mean Square F Value Pr>F BFB
group 2 3.76634 1.88317 9.40051 0.000847054 61.3967
plot 1 5.2836 5.2836 26.375 2.35008e-05 1468.68
Residual 26 5.20849 0.200326

group is significant at 5% significance level.
plot is significant at 5% significance level.

Boxplot:

Model: weight ~ group + plot

Boxplot of Response values.

Residuals vs. Fitted

Model: weight ~ group + plot

Residual scatter plot: residuals on y-axis and fitted values on x-axis.

QQ-Plot for Residuals

Model: weight ~ group + plot

A quantile-quantile plot of residuals.

Levene's Test on Equality of Variances
(Median is used as center)

The null hypothesis: variances are equal.

F Value DF P(>|F|)
0.715407 (5, 24) 0.61802

Test is not significant at 5% significance level.

Tukey's HSD: Multiple Comparison of Means

Table of 95% family-wise confidence level

Difference Levels Mean Lower Limit Upper Limit Adjusted p-value
trt1-ctrl -0.371 -0.868384 0.126384 0.172501
trt2-ctrl 0.494 -0.00338414 0.991384 0.0518359
trt2-trt1 0.865 0.367616 1.36238 0.000571992

Tukey's HSD: Multiple Comparison of Means

Graph of 95% family-wise confidence level

Tukey's HSD graph showing the interval for mean difference between different levels of term: group

Tukey's HSD: Multiple Comparison of Means

Table of 95% family-wise confidence level

Difference Levels Mean Lower Limit Upper Limit Adjusted p-value
B-A 0.839333 0.503393 1.17527 2.35008e-05

Tukey's HSD: Multiple Comparison of Means

Graph of 95% family-wise confidence level

Tukey's HSD graph showing the interval for mean difference between different levels of term: plot