Researchers record the yields of corn, in bushels per plot, for four different v

Question

Researchers record the yields of corn, in bushels per plot, for four different varieties of corn, A, B, C, and D. In a controlled greenhouse experiment, the researchers randomly assign each variety to eight of 32 plots available for the study. The yields are listed here: Perform an analysis of variance on these data, use Fisher's Least Significant Difference to check mean differences if the overall F test is significant, and draw your conclusions. alpha = 0.05 The data set name is PROB1.sav. Provide the necessary SPSS output and circle any results that you refer to.

Explanation / Answer

One-way ANOVA: DATA versus FACTOR

Source DF SS MS F P
C2 3 8.076 2.692 12.15 0.000
Error 28 6.201 0.221
Total 31 14.277

S = 0.4706 R-Sq = 56.57% R-Sq(adj) = 51.91%

here we can note p-value = 0.000 <0.05 so the we can comment that the 4 different varities are not same the differ significantly.

also we can write that which pair is significantly differ from other

Means that do not share a letter are significantly different.

Fisher 95% Individual Confidence Intervals
All Pairwise Comparisons among Levels of factor

Simultaneous confidence level = 80.51%

factor = 1 subtracted from:

factor Lower Center Upper -------+---------+---------+---------+--
2 0.1805 0.6625 1.1445 (----*---)
3 0.5680 1.0500 1.5320 (----*---)
4 -0.6820 -0.2000 0.2820 (----*----)
-------+---------+---------+---------+--
-1.0 0.0 1.0 2.0

factor = 2 subtracted from:

factor Lower Center Upper -------+---------+---------+---------+--
3 -0.0945 0.3875 0.8695 (----*----)
4 -1.3445 -0.8625 -0.3805 (---*----)
-------+---------+---------+---------+--
-1.0 0.0 1.0 2.0

factor = 3 subtracted from:

factor Lower Center Upper -------+---------+---------+---------+--
4 -1.7320 -1.2500 -0.7680 (----*---)
-------+---------+---------+---------+--
-1.0 0.0 1.0 2.0

the varities confidence interval contains zero are same effective.

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