# chapter_14_table_3: The data used in Chapter 14, Table 3 In AMCP: A Model Comparison Perspective

## Description

The data used in Chapter 14, Table 3

## Usage

 `1` ```data(chapter_14_table_3) ```

## Format

An object of class `data.frame` with 10 rows and 3 columns.

## Details

Using the data in Table 14.1, we could average scores for each participant individually because the noise factor we need to average over is a within-subjects factor. For example, participant 1's average 0 degree score is 450, whereas his or her 8 degree score is 630. This participant's reaction time averages 180 msec longer (630 vs 450) for the 8 degree condition than the 0 degree condition. If the other 9 participants' data show a similar pattern, we would infer that there is indeed a main effect due to angle.

For the hypothetical data contained in Table 14.1, Table 14.3 gives the set of D variables. The D variables are subsequently used to analyze the data given in Table 14.1. Recall that we analyzed the data contained in Table 14.1 directly using SPSS without (explicitly) forming D variables. Although obtaining the results of the main effects is easily accomplished using the data directly, forming and then analyzing D variables directly also has its benefits (which are delineated in the chapter). Below we analyze the D variables contained in Table 14.3. As expected, our results will match those previously obtained when we analyzed the raw data (i.e., skipping the step of explicitly forming D variables). However, the method to be outlined here provides a different way to accomplish the same goal. We will soon see that analyzing the data by explicitly forming D variables has its advantages.The first column of Table 14.3 (D1) shows these scores for all 10 participants. Indeed, all 10 participants have an average 8 degree reaction time that is slower than their average 0 degree reaction time. Such consistency strongly supports the existence of an angle main effect.

## Variables

d1

participant D1 difference score averaged over noise

d2

participant D2 difference score averaged over noise

d3

participant D3 difference score averaged over noise

C14T3

## Author(s)

Ken Kelley [email protected]

## Source

Maxwell, S. E., Delaney, H. D., \& Kelley, K. (forthcoming). Designing experiments and analyzing data: A model comparison perspective. (3rd ed.). Routledge.

## References

Maxwell, S. E., Delaney, H. D., \& Kelley, K. (forthcoming). Designing experiments and analyzing data: A model comparison perspective (3rd ed.). Routledge.

## Examples

 ```1 2 3 4 5 6 7 8``` ```# Load the data data(chapter_14_table_3) # Or, alternatively load the data as data(C14T3) # View the structure str(chapter_14_table_3) ```

AMCP documentation built on May 30, 2017, 8:14 a.m.