Seeds of four different varieties of soybean are planted in three soil types. It
ID: 3352488 • Letter: S
Question
Seeds of four different varieties of soybean are planted in three soil types. It is recognized that variations in the yield of soybean may occur from one soil type to another. Each plot of a particular soil type is divided into four subplots, which are then randomly assigned to the four soybean varieties. Determine at the 0.05 significance level whether the yield, as shown in the table below, vary significantly with differences in the variety of soybean. SOIL TYPE (PLOT) VARIETY OF SOYBEAN 12 15 14 15 19 18 10 12 15 14 16 If you to do this experiment, present an appropriate field layout and randomization schemeExplanation / Answer
The significant differance between two variable with differant level is calculated using ANOVA
We used Two Factor ANOVA in Excel here,
From below ANOVA table you can see that p-value of column 0.08560 is greater than 0.05
I.e Acept the null hypothesis
There for the yield of soyabean is same for each varity.
Table:
Anova: Two-Factor Without Replication SUMMARY Count Sum Average Variance Row 1 4 51 12.75 4.916667 Row 2 4 62 15.5 8.333333 Row 3 4 58 14.5 8.333333 Column 1 3 41 13.66667 2.333333 Column 2 3 52 17.33333 4.333333 Column 3 3 37 12.33333 6.333333 Column 4 3 41 13.66667 6.333333 ANOVA Source of Variation SS df MS F P-value F crit Rows 15.5 2 7.75 2.007194 0.21507 5.143253 Columns 41.58333 3 13.86111 3.589928 0.085606 4.757063 Error 23.16667 6 3.861111 Total 80.25 11