E. D. A Species Sum of Sample Values ΣYA = 42.3 Σi=1 YBi = 44.1 Yoi = 48.6 B C Calculate the sum of squares for treatment in a one-way ANOVA with species as the factor. Jade asked her colleague to perform a two-way ANOVA on the same sample data with food type and species as the two factors. Her colleague performed the two-way ANOVA (assuming any required assumptions were satisfied) but unfortunately misplaced the results. All that he could remember was that there was an interaction between food type and species at the 5% significance level but not at the 2.5% significance level. Calculate the two values between which the sum of squares for interaction in this two-way ANOVA must lie.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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E.
D.
Species Sum of Sample Values
A
Σi Yai = 42.3
B
C
Σi-1 YBi = 44.1
ΣΥΒ
Yci = 48.6
Calculate the sum of squares for treatment in a one-way ANOVA with
species as the factor.
Jade asked her colleague to perform a two-way ANOVA on the same
sample data with food type and species as the two factors. Her colleague
performed the two-way ANOVA (assuming any required assumptions were
satisfied) but unfortunately misplaced the results. All that he could remember was
that there was an interaction between food type and species at the 5%
significance level but not at the 2.5% significance level. Calculate the two values
between which the sum of squares for interaction in this two-way ANOVA must lie.
Transcribed Image Text:E. D. Species Sum of Sample Values A Σi Yai = 42.3 B C Σi-1 YBi = 44.1 ΣΥΒ Yci = 48.6 Calculate the sum of squares for treatment in a one-way ANOVA with species as the factor. Jade asked her colleague to perform a two-way ANOVA on the same sample data with food type and species as the two factors. Her colleague performed the two-way ANOVA (assuming any required assumptions were satisfied) but unfortunately misplaced the results. All that he could remember was that there was an interaction between food type and species at the 5% significance level but not at the 2.5% significance level. Calculate the two values between which the sum of squares for interaction in this two-way ANOVA must lie.
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