Discuss your  conclusions of the both the dummy-coded multiple regression and the  orthogonal-coded multiple regression as they relate to your stated  research question and hypotheses for the overall regression model and  the individual predictors.

/in /by

Suppose that a researcher conducts a study to see how level of anxiety ( A1 = low, A2 = medium, A3 = high) predicts exam performance ( Y). The performance ( Y) and anxiety ( A) data are already entered into u08a1data.sav.  Your task is to correctly enter the dummy codes to run regression.  First, for dummy-coded regression, assume that the researcher wants to  compare the medium anxiety group to the low and high anxiety groups.  Enter the dummy codes for the low anxiety group contrast ( D1) and the high anxiety group contrast ( D2). Next, generate orthogonal codes for a positive linear trend ( O1) and a quadratic (curvilinear) trend for an upside-down U ( O2).

Use the DAA Template located in the resources to write up your  assignment. The deadline for submitting your work is 11:59 PM CST on  Sunday of Week 8.

Step 1. Write Section 1 of the DAA. In Section 1  of the DAA, articulate your predictor variables, the outcome variable,  and the scales of measurement for each variable. Specify the sample size  of the data set.

Step 2. Write Section 2 of the DAA. Test the normality assumption of multiple regression with a visual interpretation of the Y histogram.

Step 3. Write Section 3 of the DAA. Specify a  research question for dummy-coded regression. Articulate a null  hypothesis and alternative hypothesis for the overall regression model.  Articulate the null hypothesis and alternative hypothesis for each  predictor. Next, articulate a research question for the orthogonal-coded  regression. Articulate a null hypothesis and alternative hypothesis for  the overall regression model. Articulate the null hypothesis and  alternative hypothesis for each predictor. Specify the alpha level.

Step 4. Write Section 4 of the DAA.

  • Begin with a brief statement reviewing the normality assumption;  state your codes for the dummy-coded regression and the orthogonal  regression.
  • Next, paste the SPSS output of the Model Summary for the dummy-coded regression.
  • Report R, R2, and interpret this effect size.
  • Next, paste the ANOVA output.
  • Report the F test and state your conclusion regarding the null hypothesis.
  • Next, paste the Coefficients output.
  • Interpret the b coefficients (i.e., what do the b values represent?) For each b coefficient, report the t tests and p-values, and for D1 and D2, a statement regarding the null hypothesis. Report the squared semipartial correlations for D1 and D2 with an interpretation of effect size.
  • Next, paste the SPSS output of the Model Summary for the orthogonal-coded regression.
  • Report R, R2, and interpret the effect size.
  • Next, paste the ANOVA output.
  • Report the F test and state your conclusion regarding the null hypothesis.
  • Next, paste the Coefficients output.
  • Interpret the b coefficients (i.e., what do the b values represent?) For each b coefficient, report the t tests and p-values, and for O1 and O2, a statement regarding the null hypothesis. Report the squared semipartial correlations for O1 and O2 with an interpretation of effect size.

Step 5. Write Section 5 of the DAA. Discuss your  conclusions of the both the dummy-coded multiple regression and the  orthogonal-coded multiple regression as they relate to your stated  research question and hypotheses for the overall regression model and  the individual predictors. Conclude with an analysis of the strengths  and limitations of dummy-coded and orthogonal-coded regression.