Term
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Definition
SE = s/√n
s= standard deviation
n = sample size
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Term
| Pearson's r correlation coefficient formula |
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Definition
| r = N∑xy-(∑x)(∑y)/√[(N∑x2-(∑x2)] • [N∑y2-(Σy)2] |
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Term
| Regression Formulas; Calculating b |
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Definition
| b = ∑(X-X‾) (Y-Ȳ) / ∑(X-X‾)2 |
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Term
| Regression Formulas; calculating a |
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Definition
| a = ∑Y - b∑X / N = Ȳ - bX‾ |
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Term
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Definition
| Strictly defining variables into measurable factors. The process defines fuzzy concepts and allows them to be measured, empirically and quantitatively. |
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Term
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Definition
| Meaning "differing variance;" this occurs if the collection of random variable contains sub-populations that have different variabilities than others. |
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Term
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Definition
| Best Linear Unbiased Estimate |
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Term
| Basic assumptions of OLS regression |
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Definition
| 1) Linearity--the relationships between the predictors and the outcome variable should be linear. 2) Normality--the erros should be normally distributed-technically normality is necessary only for hypothesis tests to be valid. Homogeneity of variance (homoscedasticity)--the variance should be constant--mean of zero. 4) Independence-- The erros associated with one observation are not correlated with the errors of any other observation. |
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Term
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Definition
| The variable that the researcher is trying to explain. |
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Term
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Definition
| The explanatory variable, that is, the hypothesized or presumed cause of the changes in the value of the dependent variable. |
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Term
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Definition
| The values predicted by a statistical model which was fit to the data. For example, when fitting a line to values for X and Y, the predicted values refer to the location of the line at a given value of X. |
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Term
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Definition
| A likeness of reality, consisting of symbols and/or concepts, that represents the characteristics of the phenomenon. |
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Term
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Definition
| The values predicted by a model fitted to a set of data. |
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Term
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Definition
| Associated with a test statistic. It is "the probability, if the test statistic really were distributed as it would be under the null hypothesis, of observing a test statistic [as extreme as, or more extreme than] the one actually observed." |
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Term
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Definition
| The probability of obtaining a test statistic at least as extreme as the one actually observed, assuming the null is true. |
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Term
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Definition
Z = X¯ / (σ/√n)
X¯ = sample mean; n = sample size; σ = population standard deviation |
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Term
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Definition
A modification of R2 that adjusts for the number of explanatory terms in a model. Penalized for adding more variable to the model.
R¯2 (R-bar squared) |
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Term
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Definition
| -.7657 would indicated a strong negative correlation. -.7657* would indicated a strong negative correlation and the star indicates the number is statistically significant |
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Term
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Definition
| Whether or not the number is positive or negative determines whether there is a positive or negative correlation between the independent and dependent variable. The absolute value of the number determines the strength of the correlation. |
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