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t statistic & correlation (Hypothesis Test (Plug the hypothesized…
t statistic & correlation
Estimate the standard score by substituting s2 in the formula for standard error
Used instead of z-score for hypothesis testing when the population standard deviation (or variance) is unknown
Calculate the sample variance
Used as a substitute for a z-score that cannot be computed when the population variance or standard deviation is unknown.
Use the estimated standard error
Used to estimate the real standard error when value is unknown
Hypothesis Test
Plug the hypothesized value into the equation
Conclude that the hypothesis was wrong if the hypothesized mean produces an extreme value for t
Hypothesize a value for the unknown population mean
Degrees of freedom
Describes the number of scores in a sample that are independent and free to vary
A correlation between two variables should not be interpreted as implying a causal relationship
Spearman Correlation
Measures the consistency of direction in the relationship between x and y
Rank the x scores and y scores separately and compute the Pearson correlation using the ranks
Coefficient of determination-Measures the portion of the variability in one variable that can be determined using the relationship with the second variable
Correlation measures the relationship between two variables (x and y)
FORM
The form is specified by the type of correlation used. Pearson correlation measures linear form and the most common form for a relationship is a straight line
STRENGTH
The numerical value of the correlation measures the strength or consistency of the relationship
DIRECTION
Positive or Negative relationship
Pearson correlation- Measures the degree of linear relationship