QMB 3200 Final Flashcards
Treatments - ANS-Different levels of a factor
response variable - ANS-Another word for the dependent variable of interest.
factor - ANS-Another word for the independent variable of interest.
ANOVA table - ANS-A table used to summarize the analysis of variance computations
and results. It contains columns showing the source of variation, the sum of squares,
the degrees of freedom, the mean square, the F value(s), and the p-value(s).
Also, the analysis of variance table used to summarize the computations associated
with the F test for significance.
Experimental Units - ANS-The objects of interest in the experiment
Completely Randomized Design - ANS-An experimental design in which the treatments
are randomly assigned to the experimental units.
single-factor experiment - ANS-An experiment involving only one factor with k
populations or treatments.
F distribution - ANS-A probability distribution based on the ratio of two independent
estimates of the variance of a normal population. The F distribution is used in
hypothesis tests about the equality of k population means.
matched samples - ANS-One simple random sample of elements is selected and two
data values are obtained for each element. For example, to compare two production
methods, one simple random sample of n workers is selected. Each worker first uses
one method and then the other method. The order of the two methods is assigned
randomly.
independent random samples - ANS-Samples selected from two populations in such a
way that the elements making up one sample are chosen independently of the elements
making up the other sample.
Partitioning - ANS-The process of allocating the total sum of squares and degrees of
freedom to the various components.
, contingency tables - ANS-A table used to summarize observed and expected
frequencies for a test of independence
multinomial population - ANS-A population in which each element is assigned to one
and only one of several categories. The multinomial distribution extends the binomial
distribution from two to three or more outcomes.
test of independence - ANS-A method of assessing whether two categorical variables
are associated or dependent.
pooled estimator of p - ANS-An estimator of a population proportion obtained by
computing a weighted average of the sample proportions obtained from two
independent samples
independent variables - ANS-The variable that is doing the predicting or explaining. It is
denoted by x.
dependent variable - ANS-The variable that is being predicted or explained. It is
denoted by y.
regression model - ANS-The equation that describes how y is related to x and an error
term; in simple linear regression, the regression model is y=β0+β1x+ϵ.
Scatter diagram - ANS-A graph of bivariate data in which the independent variable is on
the horizontal axis and the dependent variable is on the vertical axis.
Residual Analysis - ANS-The analysis of the residuals used to determine whether the
assumptions made about the regression model appear to be valid. Residual analysis is
also used to identify outliers and influential observations.
coefficient of determination - ANS-A measure of the goodness of fit of the estimated
regression equation. It can be interpreted as the proportion of the variability in the
dependent variable y that is explained by the estimated regression equation.
Simple Linear Regression - ANS-Regression analysis involving one independent
variable and one dependent variable in which the relationship between the variables is
approximated by a straight line.
Treatments - ANS-Different levels of a factor
response variable - ANS-Another word for the dependent variable of interest.
factor - ANS-Another word for the independent variable of interest.
ANOVA table - ANS-A table used to summarize the analysis of variance computations
and results. It contains columns showing the source of variation, the sum of squares,
the degrees of freedom, the mean square, the F value(s), and the p-value(s).
Also, the analysis of variance table used to summarize the computations associated
with the F test for significance.
Experimental Units - ANS-The objects of interest in the experiment
Completely Randomized Design - ANS-An experimental design in which the treatments
are randomly assigned to the experimental units.
single-factor experiment - ANS-An experiment involving only one factor with k
populations or treatments.
F distribution - ANS-A probability distribution based on the ratio of two independent
estimates of the variance of a normal population. The F distribution is used in
hypothesis tests about the equality of k population means.
matched samples - ANS-One simple random sample of elements is selected and two
data values are obtained for each element. For example, to compare two production
methods, one simple random sample of n workers is selected. Each worker first uses
one method and then the other method. The order of the two methods is assigned
randomly.
independent random samples - ANS-Samples selected from two populations in such a
way that the elements making up one sample are chosen independently of the elements
making up the other sample.
Partitioning - ANS-The process of allocating the total sum of squares and degrees of
freedom to the various components.
, contingency tables - ANS-A table used to summarize observed and expected
frequencies for a test of independence
multinomial population - ANS-A population in which each element is assigned to one
and only one of several categories. The multinomial distribution extends the binomial
distribution from two to three or more outcomes.
test of independence - ANS-A method of assessing whether two categorical variables
are associated or dependent.
pooled estimator of p - ANS-An estimator of a population proportion obtained by
computing a weighted average of the sample proportions obtained from two
independent samples
independent variables - ANS-The variable that is doing the predicting or explaining. It is
denoted by x.
dependent variable - ANS-The variable that is being predicted or explained. It is
denoted by y.
regression model - ANS-The equation that describes how y is related to x and an error
term; in simple linear regression, the regression model is y=β0+β1x+ϵ.
Scatter diagram - ANS-A graph of bivariate data in which the independent variable is on
the horizontal axis and the dependent variable is on the vertical axis.
Residual Analysis - ANS-The analysis of the residuals used to determine whether the
assumptions made about the regression model appear to be valid. Residual analysis is
also used to identify outliers and influential observations.
coefficient of determination - ANS-A measure of the goodness of fit of the estimated
regression equation. It can be interpreted as the proportion of the variability in the
dependent variable y that is explained by the estimated regression equation.
Simple Linear Regression - ANS-Regression analysis involving one independent
variable and one dependent variable in which the relationship between the variables is
approximated by a straight line.
