Question

How is the total variability in a set of scores partitioned in an Independent Measures Analysis...

How is the total variability in a set of scores partitioned in an Independent Measures Analysis of Variance and what does each part represent?

Sum of Squares

Variability Accounted For

1.

2.

Homework Answers

Answer #1

Since in ANOVA

Total sum so square =Treatment sum of square ( sum of squares between the groups)+error sum of square ( sum of square within group)

Here

Treatment sum of square ( sum of squares between the groups): measures the variation in data due to different treatments or groups

error sum of square ( sum of square within group): meausre the variation in the due to chance

Hence

1. Treatment sum of square variation due to treatments

2. error sum of square variation by chance

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
a) How is variance partitioned in an analysis of variance? Describe what is included in each...
a) How is variance partitioned in an analysis of variance? Describe what is included in each type of variability? (b) Why do we partition variance this way? That is, what does partitioning variance this way tell us?
What is the "sources of variance" in the Independent Measures Analysis of Variance. Why are the...
What is the "sources of variance" in the Independent Measures Analysis of Variance. Why are the scores different between the treatments, and why are the scores different within each treatment?
Allan is worried that students’ scores on examinations differ significantly based on the paper colors of...
Allan is worried that students’ scores on examinations differ significantly based on the paper colors of the examinations, on average. Allan conducts an Analysis of Variance in which he selects four examinations at random for each of four paper colors. Part A- If the value for Sum of Squares Total equals 2,144 and the value for Mean Squares Within equals 135.5, what does the calculated value for the associated test statistic equal? Part B-If the level of significance equals 0.05,...
The following data set represents test scores from a math class at College A. Perform computations...
The following data set represents test scores from a math class at College A. Perform computations as instructed below. If you have decimals, use two or three decimal points in your answer.   Scores: 84, 79, 95, 65, 80, 76, 92, 88, 74, 90, 86, 72, 85 (a) What is the sum of the scores? (b) What is the mean of the data set? (c) What is the Sum of Squares (SS) of the data set? (d) What is the variance...
1- As one of the statistics associated with discriminant analysis, the ________ for each predictor is...
1- As one of the statistics associated with discriminant analysis, the ________ for each predictor is the ratio of the within-group sum of squares to the total sum of squares. Its value varies between 0 and 1. a Wilks' λ b discriminant scores c discriminant function coefficients d eigenvalue 2- Which of the following statements is not an objective of discriminant analysis? a examination of whether significant differences exist among the groups, in terms of the dependent variables b determination...
I am worried that the scores of my students tests differ significantly based on the paper...
I am worried that the scores of my students tests differ significantly based on the paper colors of the examinations, on average. Erich conducts an Analysis of Variance in which he selects four examinations at random for each of four paper colors. a. If the value for Sum of Squares Total equals 2,144 and the value for Mean Squares Within equals 135.5, what does the calculated value for the associated test statistic equal? Group of answer choices 1.2743 1.6238 15.8229...
The following data represent the results from an independent-measures experiment comparing three treatment conditions with n=4...
The following data represent the results from an independent-measures experiment comparing three treatment conditions with n=4 in each sample. Conduct an analysis of variance with α=0.055 to determine whether these data are sufficient to conclude that there are significant differences between the treatments. Treatment A Treatment B Treatment C 13 17 15 13 15 13 14 15 18 16 13 18 F-ratio = _______________ p-value = ______________ Conclusion: There is a significant difference between treatments These data do not provide...
1. Given a data set with n = 10 observations, containing one independent variable, find the...
1. Given a data set with n = 10 observations, containing one independent variable, find the critical value for an F-test at α = 2.5% significance. Show your answer with four decimal places. 2.  If a data set has total sum of squares = 1271.4 and sum of squares due to error = 396.7, then the coefficient of determination is equal to ____ (Round your answer to three decimal places) 3. Given the following portion of an output produced by a...
1.The terms variation and variability are used to describe a. how similar or diverse the scores...
1.The terms variation and variability are used to describe a. how similar or diverse the scores are . b. the gap between the lowest and highest scores. c. how likely it is that an obtained result occurred by chance. d. the symmetrical or bell-shaped curve that describes the distribution of many types of data. 2.The biggest limitation of experimental research is that : A.it cannot distinguish cause and effect. B.it cannot be used to investigate mental processes. C.the results are...
The following data represent the results from an independent-measures experiment comparing three treatment conditions. Use SPSS...
The following data represent the results from an independent-measures experiment comparing three treatment conditions. Use SPSS to conduct an analysis of variance with α=0.05α=0.05 to determine whether these data are sufficient to conclude that there are significant differences between the treatments. Treatment A Treatment B Treatment C 2 4 5 4 2 7 4 4 8 2 7 9 3 3 11 F-ratio = p-value = Conclusion: These data do not provide evidence of a difference between the treatments There...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT