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Statistics Terms/Symbols/Formulas
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27
Mathematics
Undergraduate 2
12/13/2011

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Term
Descriptive statistics
Definition
Numerical or graphical representations of samples or populations. Can include numerical measures such as mode, median, mean, standard deviation. Also includes images such as graphs, charts, visual linear regressions.
Term
n
Definition
sample size
Term
Sample
Definition
A part of the population. A sample is usually more than five measurements, observations, objects, or people, and smaller than the complete population.
Term
Parameters
Definition
Measurements of the population.
Term
Population:
Definition
The complete group of elements, objects, observations, or people.
Term
Qualitative data
Definition
refers to descriptive measurements, typically non-numerical.
Term
Quantitative data
Definition
refers to numerical measurements. Quantitative data can be discrete or continuous.
Term
Discrete:
Definition
A countable or limited number of possible numeric values.
Term
Continuous
Definition
An infinite number of possible numeric values.
Term
Descriptive statistics:
Definition
Numerical or graphical representations of samples or populations. Can include numerical measures such as mode, median, mean, standard deviation. Also includes images such as graphs, charts, visual linear regressions.
Term
Inferential statistics:
Definition
Using descriptive statistics of a sample to predict the parameters or distribution of values for a population.
Term
simple random sample
Definition
one selected in a way that:

any member of the population is equally likely to be selected.
any sample of a given size is equally likely to be selected.
Term
Census:
Definition
Measurements done on the whole population.
Term
μ.
Definition
mean of a population
Term
the standard deviation.
Definition
a measure related to the average distance of the data from the mean.
Term
sx
Definition
sample standard deviation
Term
σ.
Definition
population standard deviation
Term
Z-Scores
Definition
indicate how many standard deviations away from the mean is a particular score. This is termed "relative standing" as it is a measure of where in the data the score is relative to the mean and "standardized" by the standard deviation.
Term
correlation.
Definition
The measurement that describes how closely to a line are the points
Term
r
Definition
coefficient of correlation
Term
Definition
coefficient of determination
Term
Coefficient of Determination r²
Definition
a measure of how much of the variation in the independent x variable explains the variation in the dependent y variable.
Term
probability
Definition
the likelihood of an event or outcome.
Term
standard error of the mean.
Definition
The standard deviation divided by the square root of the sample size
Term
Margin of Error for the mean
Definition
the distance from either end of the condifendence interval to the middle of the confidence interval.
Term
null hypothesis
Definition
the supposition that there is no change in a value from some pre-existing, historical, or expected value. The null hypothesis literally supposes that the change is null, non-existent, that there is no change.
Term
alternate hypothesis H1
Definition
the supposition that there is a change in the value from some pre-existing, historical, or expected value. Note that the alternate hypothesis does NOT say the "new" value is the correct value, just that whatever the mean μ might be, it is not that given by the null hypothesis.
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