. RESEARCH STUDY 9.1: Dr. Farah is an educational psychologist...

Answer & explanation.

In the figure below, there are  2  cross-lag correlations and  2  autocorrelations.

answer:   2;2

Note that cross lagged panel design involves looking at two variables, GPA and hours of homework, at two different times—Fall and Spring. We're trying to find what effect each variable has on each other at particular points in time. Thus, we have four variables;

  • GPA Fall (X 1 ),
  • GPA Spring (X 2 ),
  • Hours of homework Fall (Y 1 ),
  • Hours of homework Spring (Y 2 ).

These four variables might be connected by different correlations:

  • Two  auto correlations ,
  • Correlation between two instances of the same variable, r X1X2  and r Y1Y2 ;
  • Two synchronous correlation (r X1Y1  r X2Y2 ).
  • Two  cross-lagged correlations, r X1Y2 and r X2,Y1 . 

source: https://www.statisticshowto.com/cross-lagged-panel-design/

Thus from the given graph, 

we have two auto correlations and two cross-lagged correlations.

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Quiz 9: Multivariate Correlational Research

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Dr. Farah is an educational psychologist who is interested in studying the potential causal relationship between doing homework and academic achievement. In January, Dr. Farah has her students report their fall GPA (a measure of academic achievement) and estimate how many hours they spent doing homework during a typical week in the fall semester. In May, Dr. Farah measures the same variables again (the estimated number of hours spent doing homework during a typical week in the spring semester and their spring GPA). She finds the following correlations.   In considering the three criteria for causation, which of the following questions will Dr. Farah's study NOT be able to address?

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