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38 Cards in this Set

  • Front
  • Back

ANOVA

A technique used to test simultaneously whether the means of several populations are equal. it uses the F distribution as the distribution of the test statistic

Asymptotic

Of, relating to, or being an asymptote; (of lines) approaching ever nearer, but never crossing.

Box Plot

A graphic display that shows the general shape of variable's distribution. It is based on five descriptive statistics: the maximum and minimum values, the first and third quartiles, and the mean

Coefficient of Determination

The proportion of the total variation in the dependent variable that is explained by the independent variable. It can assume any value between 0 and + 1.00 inclusive. This coefficient is computed by squaring the correlation coefficient, r.

Combination

A formula to count the number of possible arrangements when the order of the outcomes is not important. For example, the outcome (a,b,c) is considered the same as (c,b,a).

Continuous Variable

A random variable that may assume infinite number of values within a given rage


Correlation coefficient

A measure of the strength of association between two variables

Descriptive Statistics

The techniques used to describe the important characteristics of set of data. This includes organizing the data values into a frequency distribution computing measures of location and computing measures of dispersion and skewness.

Discrete Variable

A random variable that can assume only certain clearly separated values.

Dummy Variable

A qualitative variable. it can assume only one of two possible outcomes.

Empirical Rule

Empirical Rule For a symmetrical, bell-shaped frequency distribution, approximately 68% of the observations lie within +/- 1 standard deviation of the mean; about 95% lie within +/- 2 SD of the mean; and practically all (99.7%) lie within +/- 3 within 3 SD of the mean.

Frequency Distribution

A grouping of data into classes showing the number of observations in each of the mutually exclusive and collectively exhaustive classes.

Histogram

A graphical display of a frequency or relative frequency distribution. The horizontal axis shows the classes. The vertical height of adjacent bars shows the frequency or realtive frequency of each class.

Homoscedasticity

The Standard error of estimate is the same for all fitted values of the dependent variable

Hypotheses

A statement or claim about the value of a population parameter. Ex 40.7 of all persons 65 years or older live alone. The mean number of people in a car is 1.33

Inferential statistics (Statistical Inference)

This facet of statistics deals with estimating a population parameter based on a sample statistic. for example, if a sample of 10 TI-36X solar calculators revealed 2 to be defective we might infer that 20% of the production is defective.

Interval Level

If one observations is greater than another by a certain amount, and the zero point is arbitrary, the measurement is on an interval scale.

Ishikawa

A diagram that shows the causes of an event and is often used in manufacturing and product development to outline the different steps in a process, demonstrate where quality control issues might arise and determine which resources are required at specific times.

Kurtosis

A statistical measure used to describe the distribution of observed data around the mean.

Median

The value of the middle observation after all the observations have been arranged from low to high.

Mode

The value that appears most frequently in a set of data. for grouped data it is the midpoint of the class containing the largest number of values.

Multicollinearity

A condition that occurs in multiple regression analysis if the independent variables are themselves correlated.

Mutually Exclusive

A property of a set of categories such that an individual, object, or measurement is included in only one category.

Nominal Level

The "lowest" level of measurement. Such data can only be classified into categories and there is no particular order for the categories.

Ogive

The distribution curve of a frequency distribution.

Ordinal Level

Data that can be ranked are referred to as ordinal measures.

Population

The collection or set of all individuals, objects, or measurements whose properties are being studied.

Positively skewed distribution

positive skew is when the long tail is on the positive side of the peak, and some people say it is "skewed to the right".

Qualitative Variable

A nominal-Scale variable coded to assume only one nonnumerical outcome or category. For example, a person is considered either employed or unemployed.

Quartile

Values of an ordered (minimum to Maximum) data set that divide the data into four intervals.

Range

A measurement of dispersion found by subtracting the minimum value from the maximum value.

Ratio Level

If the distance between numbers is a constant size, there is a true zero point, and the ratio of two values is meaningful, then the data are ratio scale.

Sample

A portion, or subset, of population being studied.

skewness

Describe asymmetry from the normal distribution in a set of statistical data.

Standard Deviation

The square root of the Variance

Statistics

The science of collecting, organizing, analyzing, and interpreting data for the purpose of making more effective decisions.

Type 1 error

Occurs when a true H0 is rejected

Variance

A measure of dispersion based on the average squared differences from the arithmetic mean.