Purchase Solution

Conduting a Two Factor ANOVA

Not what you're looking for?

Ask Custom Question

ANOVA

An experiment is designed to measure the effect of detergent brand and washing cycle time on the
amount of dirt removed from standard household laundry loads. Four brands and four levels of washing
cycles are selected for the analysis. The results, in pounds of dirt removed are as follows

18 20 22 24
A 0.11 0.13 0.17 0.17
A 0.09 0.13 0.19 0.18
B 0.12 0.14 0.17 0.19
B 0.10 0.15 0.18 0.17
C 0.08 0.16 0.18 0.20
C 0.09 0.13 0.17 0.16
D 0.11 0.12 0.16 0.15
D 0.13 0.13 0.17 0.17

At the 0.05 level of significance,

a. is there effect due to detergent brand?

b. is there an effect due to washing cycle time?

c. is there an interaction between detergent and washing cycle time?

d. Plot the mean amount of dirt removed (in pounds) for each detergent brand for each washing cycle time.

The number of factors in this problem is __________________
The symbol used for the size of the replica is _________________
The SSE means______________________________________________
The degrees of freedom for MSAB is ___________________; this number is calculated as ________________
A large MSAB indicates a significant interaction between the factors. TRUE / FALSE.
The row used in F table for the A B and AB is the same because__________________________________________
To find Fu for AB interaction in F table column _____________is used; this column was calculated as___________________________

Attachments
Purchase this Solution
Solution Summary

This solution gives the step by step method for Two Factor ANOVA.

Purchase this Solution
Free BrainMass Quizzes
Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

View More Free Quizzes
Related BrainMass Solutions

  • ANOVA - Test the waiting time in four tax offices

    568529 ANOVA - Test the waiting time in four tax offices Management at the Kansas City Corporate office for tax prepration wants to accomplish a business objective by conduting a study of the waiting time in its tax offices in different states

  • One-Factor and Two-Factor ANOVA

    165440 One-Factor and Two-Factor ANOVA (a) Explain the difference between one-factor and two-factor ANOVA. (b) Write the linear model form of one-factor ANOVA. (c) State the hypotheses for a one-factor ANOVA in two different ways.

  • How ANOVA avoids type 1 errors

    However, a two-factor ANOVA can be used to test two parameters in the same study. Also, in one-way ANOVA, only one test is performed for check significance of parameter. But in two-factor ANOVA, three tests are performed.

  • Use of ANOVA, One-Way, Two-Way, R-Square in Regression

    If it is established that two factors affect a response variable, then two- factor ANOVA is used. For a one-factor ANOVA, the hypotheses would be: Ho: All treatment means are equal vs Ha: At least two treatment means are different.

  • Two way ANOVA and statistics null hypothesis

    221095 Two way ANOVA and statistics null hypothesis Given the following data for a two-way ANOVA, identify the sets of null and alternative hypotheses, then use the 0.05 level in testing each null hypothesis Factor B

  • Differences between one-way and two-way ANOVA

    A one-way ANOVA, or single factor ANOVA, tests differences between groups that are only classified on one independent variable A two-way ANOVA for example, can measure both the differences among treatments and among age of participants simultaneously

  • ANOVA Table Values

    This solution fills in the missing values of the two ANOVA tables and determines if the factor is significant with full workings and brief justifications.

  • Statistics: ANOVA Tables

    This is a 2 x 2 factorial ANOVA. The first factor (IV) has two levels (categories) and the second factor has two levels. b. How many conditions were in the study? There were 4 conditions in the study. c.

  • Hypothesis tests that make up two-factor ANOVA

    376476 Describe mean differences in each of the three hypotheses tests of two-factor ANOVA The structure of a two-factor study can be presented as a matrix with the levels of one factor determining the rows and the levels of the second factor determining

View More Related Solutions