Term

Definition
SE = s/√n
s= standard deviation n = sample size



Term
Pearson's r correlation coefficient formula 

Definition
r = N∑xy(∑x)(∑y)/√[(N∑x^{2}(∑x^{2})]^{ • }[N∑y^{2}(Σy)^{2}] 


Term
Regression Formulas; Calculating b 

Definition
b = ∑(XX‾) (YȲ) / ∑(XX‾)^{2} 


Term
Regression Formulas; calculating a 

Definition
a = ∑Y  b∑X / N = Ȳ  bX‾ 


Term

Definition
Strictly defining variables into measurable factors. The process defines fuzzy concepts and allows them to be measured, empirically and quantitatively. 


Term

Definition
Meaning "differing variance;" this occurs if the collection of random variable contains subpopulations that have different variabilities than others. 


Term

Definition
Best Linear Unbiased Estimate 


Term
Basic assumptions of OLS regression 

Definition
1) Linearitythe relationships between the predictors and the outcome variable should be linear. 2) Normalitythe erros should be normally distributedtechnically normality is necessary only for hypothesis tests to be valid. Homogeneity of variance (homoscedasticity)the variance should be constantmean of zero. 4) Independence The erros associated with one observation are not correlated with the errors of any other observation. 


Term

Definition
The variable that the researcher is trying to explain. 


Term

Definition
The explanatory variable, that is, the hypothesized or presumed cause of the changes in the value of the dependent variable. 


Term

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. 


Term

Definition
A likeness of reality, consisting of symbols and/or concepts, that represents the characteristics of the phenomenon. 


Term

Definition
The values predicted by a model fitted to a set of data. 


Term

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." 


Term

Definition
The probability of obtaining a test statistic at least as extreme as the one actually observed, assuming the null is true. 


Term

Definition
Z = X¯ / (σ/√n)
X¯ = sample mean; n = sample size; σ = population standard deviation 


Term

Definition
A modification of R^{2} that adjusts for the number of explanatory terms in a model. Penalized for adding more variable to the model.
R¯^{2} (Rbar squared) 


Term

Definition
.7657 would indicated a strong negative correlation. .7657* would indicated a strong negative correlation and the star indicates the number is statistically significant 


Term

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. 

