Exam 14: Analysis of Variance

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In a two-factor ANOVA,there are 4 levels for factor A,5 levels for factor B,and 3 observations for each combination of factor A and factor B levels.The number of treatments in this experiment equals:

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The F-test in ANOVA is an expansion of the t-test for two independent population means.

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If our analysis includes all possible levels of a factor,the technique for analyzing the data is called a(n)____________________-effects ANOVA.

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The test of whether the block means differ uses an F-test whose test statistic is ____________________ divided by ____________________.

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In the two-factor ANOVA where a is the number of factor A levels,b is the number of factor B levels,r is the number of replicates,and n is the total number of observations,the number of degrees of freedom for error is:

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The F-test in ANOVA requires that the random variable be ____________________ distributed with equal ____________________.

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In Fisher's least significant difference (LSD)multiple comparison method,the LSD value will be the same for all pairs of means if:

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In ANOVA,the F-test is the ratio of two sample variances.In the one-way ANOVA (completely randomized design),the variance used as a numerator of the ratio is:

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Motorcycle Repair Cost Motorcycle insurance appraisers examine motorcycles that have been involved in accidental collisions and estimate the cost of repairs.An insurance executive claims that there are significant differences in the estimates from different appraisers.To support his claim he takes a random sample of six motorcycles that have recently been damaged in accidents.Three appraisers then estimate the repair costs of all six motorcycles.The data are shown below. Bstimatad Repair Cost Motorcycles Appraiser 1 Appraiser 2 Appraiser 3 1 650 600 750 2 930 910 1010 3 440 450 500 4 750 710 810 5 1190 1050 1250 6 1560 1270 1450 -{Motorcycle Repair Cost Narrative} Set up the ANOVA Table.Use α\alpha = 0.05 to determine the critical values.

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A randomized block design with 4 treatments and 5 blocks produced the following sum of squares values: SS(Total)= 1,951,SST = 349,SSE = 188 .The value of SSB must be:

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In the two-factor ANOVA where a is the number of factor A levels,b is the number of factor B levels,and r is the number of replicates,the number of degrees of freedom for interaction is:

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Multiple comparison methods are used after it is found that H0 from ANOVA has been ____________________.

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The sum of squares for treatments (SST)is the variation attributed to the differences between the treatment means,while the sum of squares for error (SSE)measures the within-treatment variation.

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Consider the following ANOVA table: Soures of Variation Treatments 128 4 32 2.963 Error 270 25 10.8 Tatal 398 29 The total number of observations is:

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