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A researcher is interested in the effect of Variable A on a dependent measure. The researcher measures the dependent variable for 4 conditions of variable A (A1 to A4). The task produces scores where the higher the value indicates improvements on the dependent variable. To examine the longevity of these effects, these procedures were repeated for 6 conditions of variable B (B1 to B6. There are 5 participants in each A x B condition. That is, the total participants is 4 *6 *[ n]For the following data set, Find FA. If needed, please round to two decimal places

A researcher is interested in the effect of Variable A on a dependent measure. The researcher measures the dependent variable for 4 conditions of variable A (A1 to A4). The task produces scores where the higher the value indicates improvements on the dependent variable. To examine the longevity of these effects, these procedures were repeated for 6 conditions of variable B (B1 to B6. There are 5 participants in each A x B condition. That is, the total participants is 4 *6 *[ n]For the following data set, Find FA. If needed, please round to two decimal places

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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### Investigating the Effects of Variables on Dependent Measures A researcher is interested in examining the effect of Variable A on a dependent measure. The research study involves measuring the dependent variable for four conditions of Variable A (denoted A1 to A4). In this context, higher values on the task indicate greater improvements on the dependent variable. To further investigate the longevity of these effects, the procedures are repeated for six different conditions of Variable B (denoted B1 to B6). Each condition (A×B) includes five participants, resulting in a total of \(4 \times 6 \times 5 = 120\) participants. **Objective:** Find the value of \(F_A\) using the given data set. If necessary, round your answer to two decimal places. ### Provided Data Set: A table displaying Sources of Variations, SS (Sum of Squares), and other statistical information is provided: | Source | SS | |---------|-----| | A | 30 | | B | 24 | | AxB | 31 | | within | 136 | The detailed procedure for calculating \(F_A\) (the F-ratio for variable A) would involve using the Sum of Squares (SS) values and appropriate degrees of freedom to compare the variation due to Variable A against the variation within groups.
Transcribed Image Text:### Investigating the Effects of Variables on Dependent Measures A researcher is interested in examining the effect of Variable A on a dependent measure. The research study involves measuring the dependent variable for four conditions of Variable A (denoted A1 to A4). In this context, higher values on the task indicate greater improvements on the dependent variable. To further investigate the longevity of these effects, the procedures are repeated for six different conditions of Variable B (denoted B1 to B6). Each condition (A×B) includes five participants, resulting in a total of \(4 \times 6 \times 5 = 120\) participants. **Objective:** Find the value of \(F_A\) using the given data set. If necessary, round your answer to two decimal places. ### Provided Data Set: A table displaying Sources of Variations, SS (Sum of Squares), and other statistical information is provided: | Source | SS | |---------|-----| | A | 30 | | B | 24 | | AxB | 31 | | within | 136 | The detailed procedure for calculating \(F_A\) (the F-ratio for variable A) would involve using the Sum of Squares (SS) values and appropriate degrees of freedom to compare the variation due to Variable A against the variation within groups.
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