Solutions Statistics

Solution) Below is a copy of an Excel report for a two-way ANOVA with replication run. Read the printout and a

Question: Below is a copy of an Excel report for a two-way ANOVA with replication run. Read the printout and answer the questions.

ANOVA

Source of Variation SS df MS F P-value F crit
Sample 32.23333 2 16.11667 2.561589 0.087695 3.190721
Columns 134.7333 3 44.91111 7.13819 0.000456 2.79806
Interaction 40.96667 6 6.827778 1.08521 0.384701 2.294598
Within 302 48 6.291667
Total 509.9333 59

(a) (2) If Sample is the first independent variable and Columns is the second independent variable, are either one significant? If so, identify which one based on evidence.

(b) (2) How many values are in each cell? Explain.

(c) (1) Is there an interaction between variables? Explain with evidence.

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