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Chapter 13: Q. 13.41 (page 542)

Fill in the missing entries in the partially completed one-way ANOVA table

Short Answer

Expert verified

The completed ANOVA table is

Step by step solution

01

Given information

The given table is

02

Explanation

The given data is

Find the treatment degrees of freedom

df=total-error

=14-12

=2

Then find the treatment sum of squares SSTR

MSTR=SSTRk-1

SSTR=MSTR(k-1)

=1.4(2)

=2.8

Find the error sum of squares SSE

SSE=MSE(n-k)

=0.9(12)

=10.8

Find the total sum of squares SST

SST=SSTR+SSE

=2.8+10.8

=13.6

Find the F-statistic

F-statistic=MSTRMSE

=1.40.9

=1.556

Therefore the completed ANOVA table is

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Most popular questions from this chapter

We have provided data from independent simple random samples from several populations. In each case, determine the following items.

a. SSTR

b. MSTR

c. SSE

d. MSE

e. F

What symbol is used to denote the F-value having area 0.05 to its right? 0.025 to its right? 伪 to its right?

On what distribution does one-way ANOVA rely?

Consider a F-curve with df=(2,14)

Find the F-value with area 0.05 to its right.

In one-way ANOVA,

a. list and interpret the three sums of squares.

b. state the one-way ANOVA identity and interpret its meaning with regard to partitioning the total variation among all the data.
See all solutions

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