An experiment has been conducted for four treatments with eight blocks. Complete

Question

An experiment has been conducted for four treatments with eight blocks. Complete the following analysis of variance table (to 2 decimals, if necessary).

Use  = .05 to test for any significant differences.

The p-value is

less than .01, between .01 and .025, between .025 and .05, between .05 and .10, greater than .10

What is your conclusion?
Conclude not all treatment means are equal

Do not reject the assumption that the treatment means are equal

Source of Variation Sum of Squares Degrees of Freedom Mean Square F Treatments 1,000 Blocks 500 Error Total 2,000

Explanation / Answer

MS = SS/ df

error's ss = sst - ss treatment - ss blocks

f = MS treatment/ MSE and f = MS block/ MSE

p-value = 1-f.dist(fvalue, df1, df error, true)

p-value = 0.00003

answer a) p-value is less than 0.01

conclusion

since p-value < 0.05, reject null hypothesis, Conclude not all treatments are equal

source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments 1,000 3            333.33         14.00        0.00003 Blocks 500 7              71.43           3.00 Error 500 21              23.81 Total 2,000 31

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