The following output summarizes a portion of the results for a two-way analysis of variance experiment with no interaction. Factor A consists of four different kinds of organic fertilizers, factor B consists of three different kinds of soil acidity levels, and the variable measured is the height (in inches) of a plant at the end of four weeks. |
a. |
Find the missing values in the ANOVA table. (Carry at least four decimal places in all intermediate calculations. Do NOT use previous ROUNDED answers in intermediate calculations; use unrounded values. Enter all FINAL answers to 2 decimal places.) |
ANOVA | ||||||
Source of Variation | SS | df | MS | F | p-value | F crit |
Rows | 0.42 | 2 | MSB = | F_{Factor B} = | 0.9078 | 10.925 |
Columns | 55.77 | 3 | MSA = | F_{Factor A} = | 0.0132 | 9.780 |
Error | 12.82 | 6 | MSE = | |||
Total | 69.01 | 11 | ||||
for given table ; please find all filled values:
Source of Variation | SS | df | MS | F | p-value | F crit |
Rows | 0.42 | 2 | MSB =0.21 | FFactor B = 0.10 | 0.9078 | 10.925 |
Columns | 55.77 | 3 | MSA = 18.59 | FFactor A = 8.70 | 0.0132 | 9.780 |
Error | 12.82 | 6 | MSE = 2.14 | |||
Total | 69.01 | 11 |
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