Write a linear statistical model for this experiment

Assignment Help Applied Statistics

Reference no: EM132182111

Homework -

Q1. A completely randomized design is conducted with four levels of factor A randomly selected from a population of levels, three levels of factor B randomly selected from a population of levels, and five levels of factor C randomly selected from a population of levels. The experiment will be implemented by randomly assigning five experimental units to the 60 treatments obtained by crossing the levels of factors A, B, and C.

a. Write a linear statistical model for this experiment. Identify all the terms in your model, and state all the conditions that are imposed on these terms.

b. Display a partial ANOVA table, including degrees of freedom and expected mean squares for all sources of variation.

c. For each of the main effects and interactions, display the ratio of mean squares that would be the appropriate F statistic for testing the significance of each of the terms.

Q2. A food-processing plant has tested several different formulations of a new breakfast drink. Each of six panels rated the 12 different formulations obtained from combining one of three levels of sweetness, one of two levels of caloric content, and one of two colors. The mean ratings are given in the following table.

Sweetness Level	Color
	1		2
	Caloric Level		Caloric Level
	1	2	1	2
1	59.5	42.5	54.5	40.1
2	66.8	49.6	64.7	50.1
3	52.0	39.3	35.1	30.2

a. Identify the design.

b. Write an appropriate model.

c. Give the analysis of variance table for this design, numerical formula for E{MS}.

Q3. A completely randomized design is conducted with five levels of factor A randomly selected from a population of levels, six levels of factor B randomly selected from a population of levels, and three levels of factor C the only levels of interest to the researcher. The experiment will be implemented by randomly assigning 10 experimental units to the 90 treatments obtained by crossing the levels of factors A, B, and C.

a. Write a statistical model for this experiment. Identify all the terms in your model, and state all the conditions that are imposed on these terms.

b. Display a partial ANOVA table, including degrees of freedom and the detailed (with numerical parameters) formula of expected mean squares for all sources of variation.

c. For each of the main effects and interactions, display the ratio of mean squares that would be the appropriate F statistic for testing the significance of each of the terms.

Reference no: EM132182111

Questions Cloud

Discuss intervention techniques you would use : Compare and contrast the case study of Artie (appendix B in the text) to a case study previously covered in class. Discuss intervention techniques you would.

Financial statements of marks and spencer plc : Analyse the financial statements of Marks and Spencer plc - You should include a copy of the financial statements for Marks and Spencer plc

Examine the list of information delivery best practices : Examine the list of Information Delivery Best Practices in this week's reading assignment. Which of these best practices does your employer follow?

Explain how technology has advanced each of their businesses : Determine if innovative products, such as Google X, iWatch, or the new Cardboard Bike, can be linked to transformational or transactional leadership.

Write a linear statistical model for this experiment : Write a linear statistical model for this experiment. Identify all the terms in your model, and state all the conditions that are imposed on these terms

Explain how participants will be selected for the study : This written assignment for this week is based on the work conducted in the "Correlation and Regression Study" discussion forum from this week.

Describe how machine learning could be used : describe how machine learning could be used for fault detection in sequence or time series data - What percent of items will fail (where the external diameter

Explain how you can improve your ability to accept criticism : Explain how you can improve your ability to accept criticism. Select two tips from the readings you can use to improve your written communication.

How a social worker would conceptualize a presenting problem : Describe how a social worker would conceptualize a presenting problem of poverty from the two theories you selected.

User Account

All Pages