Statistical Methods for Psychology

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CHAPTER 16 Analyses of Variance and Covariance as General Linear Models Objectives To show how the analysis of variance can be v ...

MOST PEOPLE THINK OF MULTIPLE REGRESSIONand the analysis of variance as two totally separate statistical techniques that answer ...

Overall and Spiegel (1969) is also worth seeing. Both of these papers appeared in the Psychological Bulletinand are therefore re ...

treatment associated with that column, and 0 otherwise. Thus, for three treatments with two subjects per treatment, the complete ...

Moreover, the elements of bare the values of m, t 1 , t 2 ,... , tk. In other words, these are the actual treatment effects in w ...

Now let us approach the statistical treatment of these data by means of least-squares multiple linear regression. We will take a ...

585 YX1X2X3 Pearson Correlation Y 1.000 .239 –.191 –.526 X1 .239 1.000 .500 .500 X2 –.191 .500 1.000 .500 X3 –.526 .500 .500 1.0 ...

follows from our definition of Xand t. Moreover, if we were to examine the significance of the bi, given as the column of t-rati ...

The Full Model The most common model for a two-way analysis of variance is As we did before, we can expand the aiand bjterms by ...

As an illustration, we will consider a case of a 2 3 4 factorial with four subjects per cell. Such a design is analyzed by the c ...

A 1 B 1 B 2 B 3 AB 11 AB 12 AB 13 The first step in a multiple-regression analysis is presented in Exhibit 16.2 using all seven ...

590 Chapter 16 Analyses of Variance and Covariance as General Linear Models Exhibit 16.2 Regression solutions using all predicto ...

Exhibit 16.2 (continued) Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > | t| Intercep 1 9.343 ...

Looking first at the ABinteractions, we see from Exhibit 16.2 that when the interaction terms were deleted from the model, the s ...

16.4 Analysis of Variance with Unequal Sample Sizes The least-squares approach to the analysis of variance is particularly usefu ...

means to produce row and column means. Before exploring that issue, however, we must first examine the competing methods. Method ...

As Carlson and Timm (1974) argued, a more appropriate way to compare the models is to examine the hypotheses they test. These au ...

default method employed by SPSS. Method III sum of squares are the values labeled as Type III SS in SAS, and now by more recent ...

Testing the Interaction Effects First, we delete the predictors associated with the interaction term and calculate. For these da ...