Reply to another students discussion board. Here are the instructions when drafting the reply:
Review one students response to D6.1 and D6.2 Summarize their findings and indicate areas of
agreement, disagreement and improvement. Support your views with citations and include a
reference section.
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Discussion Forum Six
D6.1 Interpreting Correlations
D6.1a From Output 9.2 What do Correlations Coefficients tell us?
In a review of output 9.2, the Spearman’s rho correlation coefficients tell the researcher the linear
relationship between variables based on ranking scores and ordinal data. The request in the
problem was to investigate statistical significance in the association between mother’s education
and math achievement. Due to mother’s education being skewed, the Spearman’s rho was
calculated. When looking at correlation coefficients, the researcher is investigating positive or
negative relationships. In this instance, the correlation was positive at 0.32, meaning that students
who have highly educated mothers tend to have higher math achievement test scores, the reverse
is also indicated.
D6.1b Determine the r^2 for the Pearson Correlation and Explain the Meaning
Morgan et al. (2013) elaborate, the r^2 is used as an indication of variance for the requested
variables, in this case the variance between math achievement test scores is based on the
Pearson Correlation. As the r value is equal to , the r^2 value is , meaning that 0.34 0.58
approximately 58% of the variance in math achievement test scores can be predicted from
mother’s education. In this case, however, the mother’s education variable is skewed, so the
Pearson Correlation matrix test is violated. The Correlations should thus be run on the Spearman’s
rho.
D6.1c Compare the Pearson and Spearman Correlations, Explain Comparison and Type
Morgan et al. (2013) define the Pearson correlation as a bivariate parametric statistic that is used
when variables are scale or normally distributed. Moreover, Morgan et al. (2013) argue the
Spearman rho is used to compute both parametric and nonparametric correlations to complete
comparisons of variables and associations between them. Spearman rho is used for ordinal
statistics, as the Pearson correlation is used for scale statistics.
D6.2 Interpreting Regressions
D6.2a Using Output 9.4, Find the Regression Coefficient and Standardized Regression
In Problem 9.4, the author ran linear bivariate regressions to establish the r value between
different variables of grades in high school and math achievement. In this instance, the r value, or
the regression coefficient was 0.50, meaning this relationship is positive. Moreover, in looking at
the r^2 of this model, it is seen that the value is 5, explaining in this model that 25% of the time 0.2
