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Statistics for Behavioral Sciences Exam 3 Part 3

Statistics15 CardsCreated 26 days ago

This deck covers key concepts related to Pearson and Spearman correlations, hypothesis testing, regression lines, and statistical calculations in behavioral sciences.

A set of n = 25 pairs of X and Y values has a Pearson correlation of r = 0.24. If each of the X values were multiplied by –3, and each Y value is increased by 2, then what is the correlation for the resulting data?

–0.24 When a set of scores is multiplied by a negative constant, the Pearson correlation is only changed by flipping the sign. When a set of scores is increased by the same amount, the Pearson correlation is not changed at all.
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Key Terms

Term
Definition
A set of n = 25 pairs of X and Y values has a Pearson correlation of r = 0.24. If each of the X values were multiplied by –3, and each Y value is increased by 2, then what is the correlation for the resulting data?
–0.24 When a set of scores is multiplied by a negative constant, the Pearson correlation is only changed by flipping the sign. When a set of scores is...
Which of the following is an application of correlations
Prediction; Validity; Reliability; Theory Verification
Which of the following are accurate considerations of correlations?
The value of a correlation can be affected greatly by the range of scores represented in the data. Further, one or two extreme data points can have a ...
hypothesis for correlation
Ho: p = 0; H1: p not equal to 0; one tailed Ho: P less than or equal to 0; H1: P is greater than 1
What can be used to conduct the hypothesis test for the Pearson correlation?
Either a t statistic or an F-ratio can be used to conduct the hypothesis test for the Person correlation.
What is the difference between the Pearson correlation and the Spearman correlation?
When the Pearson correlation formula is used with data from an ordinal scale (ranks), the result is called the Spearman correlation.

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TermDefinition
A set of n = 25 pairs of X and Y values has a Pearson correlation of r = 0.24. If each of the X values were multiplied by –3, and each Y value is increased by 2, then what is the correlation for the resulting data?
–0.24 When a set of scores is multiplied by a negative constant, the Pearson correlation is only changed by flipping the sign. When a set of scores is increased by the same amount, the Pearson correlation is not changed at all.
Which of the following is an application of correlations
Prediction; Validity; Reliability; Theory Verification
Which of the following are accurate considerations of correlations?
The value of a correlation can be affected greatly by the range of scores represented in the data. Further, one or two extreme data points can have a dramatic effect on the value of a correlation (outliners). High SS scores do not dramatically decrease the effectiveness of a correlation.
hypothesis for correlation
Ho: p = 0; H1: p not equal to 0; one tailed Ho: P less than or equal to 0; H1: P is greater than 1
What can be used to conduct the hypothesis test for the Pearson correlation?
Either a t statistic or an F-ratio can be used to conduct the hypothesis test for the Person correlation.
What is the difference between the Pearson correlation and the Spearman correlation?
When the Pearson correlation formula is used with data from an ordinal scale (ranks), the result is called the Spearman correlation.
In preparation for a Spearman correlation, what are the ranks for the following data set? (335689)
1.5, 1.5, 3, 4, 5, 6
Which of the following situations is an example of a dichotomous variable and would therefore suggest the possible use of a point-biserial correlation.
Whether a computer is running the latest version of an operating system or an earlier version; A variable with only two values is called a dichotomous variable or a binomial variable. The only variable in these choices with exactly two values is whether or not a computer is running the latest version of an operating system.
Which situation would be appropriate for obtaining a phi-coefficient with a Pearson test?
Comparing gender with whether or not someone has a PhD In order to use a phi-coefficient, both X and Y have to be dichotomous. When comparing gender with whether or not someone has a PhD, there are two outcomes for each: male/female, and yes/no. All other options have more than two choices in at least one of the factors.
Which of the following is not one of the purposes of a line of regression?
A line of regression is a visual representation of the relationship between two variables. It serves to identify the central tendency of this relationship and can be used to predict missing values for each of the variable. It does little to display variability for each variable.
If the Pearson correlation between X and Y is negative, what is the slope of the regression line?
Negative
If the Pearson correlation between X and Y is r = –1, how many (X, Y) pairs do you need to compute the regression line?
If r = –1, then the correlation is perfect. This means that all of the ordered pairs will fall on the regression line. To determine the line, we only need two of the available points.
For the following data set, find the Y-intercept of the standardized regression line.
For a standardized regression line, the Y-intercept is always 0.
When a linear regression is obtained for X, Y and residuals are computed for Y, what is the sum of these residuals?
For a linear regression, the sum of the residuals is always 0.
If the Pearson correlation between 11 pairs of X and Y is r = 0.5, and SSY = 36, find the standard error of estimate.
1.732