Abstract
Despite the turmoil surrounding Governor Greenleaf’s competitor, the team rallies together to concentrate on two more research questions. Those research questions are as follows: (1) Is Total Testosterone Level associated with the General Aggression Score? (2) Is sentence length associated with the General Aggression Score? The first research question is discussed using the Somer’s Index d, and the second research question is addressed by using Spearman’s Rho. Antecedents and consequents are discussed as well as concordant and discordant pairs as they relate to Somer’s Index. In this chapter, Pearson’s r is also considered. The team has to navigate through the reasons why Pearson’s r is not an appropriate choice for their research.
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Notes
- 1.
Asymmetry is discussed on page 24 in Chap. 2 in the context of skewness.
- 2.
Contingency tables are discussed in detail on page 72 in Chap. 4.
- 3.
This information can easily be found in the data set provided at the beginning of Chap. 2. The reader can match the participant number here with the participant number in the full data set to see each individual charge and description.
- 4.
M + ij is the sum of the Frequencies for the terms above and to the left in a contingency table, while \( {M}_{ij}^{-} \) is the sum of the Frequencies for the terms above and to the right. Both terms are found using the same procedures for finding N i + j and N i − j where the row and column that include the specific cell are not included in the count.
- 5.
A polynomial is an expression or equation of the form a n x n + a n−1 x n−1 + ∙∙∙ + a 1 x + a 0 where n is a nonnegative integer. This means the powers of x are only whole numbers. A multinomial is a polynomial with at least two terms.
- 6.
The simplified equation provides an equitable estimate for the longer equation. Using the simplified equation requires the assumption that the frequencies in the cells of the contingency table are fairly equal.
- 7.
A specific discussion regarding how to read these kinds of tables is discussed on page 77 in Chap. 4 in the context of critical values. The process for reading this table is the same for all procedures.
- 8.
Alpha levels are discussed on page 79 in Chap. 4.
- 9.
Page 243 in Chap. 10 contains a detailed discussion of statistical Significance for z-scores.
- 10.
A discussion about Pearson’s R can be found on page 71 in Chap. 4.
- 11.
A discussion about correlations can be found on page 70 in Chap. 4.
- 12.
Further discussion on the t-test can be found on page 208 in Chap. 9 with regard to the Permutation Test for Two Independent Samples.
- 13.
Both the Critical Values Table for Spearman’s Rho and the t Distribution are included in the appendices.
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Linebach, J.A., Tesch, B.P., Kovacsiss, L.M. (2014). The Bourgeoisie, the Proletariat, and an Unwelcomed Press Conference. In: Nonparametric Statistics for Applied Research. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-9041-8_5
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