Stat 202 Final Evaluation: Applied Statistics for Real-World Data
Response Variable (dependent variable) - answers✔✔the variable of interest to be measured in
the experiment
Factors - answers✔✔those variable whose effect on the response is of interest to the
experimenter
Quantitative Factors - answers✔✔measured on a numerical scale
Qualitative Factors (independent variable) - answers✔✔those that are not naturally measured
on a numerical scale
Factor Levels - answers✔✔the values of the factor used in the experiment
Treatments - answers✔✔the factor level combinations used
Experimental Unit - answers✔✔the object on which the response and factors are observed or
measured
Designed Study - answers✔✔one for which the analyst controls the specifications of the
treatments and the method of assigning the experimental units to each experiment
observational study - answers✔✔one for which the analyst simply observes the treatments and
the response on a sample of experimental units
, completely randomized design - answers✔✔a design in which the experimental units are
randomly assigned to the k treatments or in which independent random samples of
experimental units are selected for each unit
Sum of Squares for Treatments (SST) - answers✔✔the variation between the treatment means
Sum of Squares for Error (SSE) - answers✔✔measures the variability around the treatment
means that is attributed to sampling error
Mean Square for Treatments (MST) - answers✔✔measures the variability among the treatment
means
Mean Square for Error (MSE) - answers✔✔measures the sampling variability within the
treatments
Values of F statistic near 1 - answers✔✔indicate that the two sources of variation, between
treatment means and within treatments, are approximately equal - the difference between the
treatment means may be well attributable to sampling error, which provides little support for
the alternative hypothesis that the population treatment means differ
Values of F statistic well in excess of 1 - answers✔✔the variation among treatment means well
exceeds that within treatments and therefore support the alternative support that the
population means differ
Conditions required for a valid ANOVA F-Test: Completely Randomized Design - answers✔✔1)
The samples are randomly selected in an independent manner from the k treatment
populations ( this can be accomplished by randomly assigning the experimental units to the
treatments)
2) All k sampled populations have distributions that are approximately normal
3) the k population variances are equal
Response Variable (dependent variable) - answers✔✔the variable of interest to be measured in
the experiment
Factors - answers✔✔those variable whose effect on the response is of interest to the
experimenter
Quantitative Factors - answers✔✔measured on a numerical scale
Qualitative Factors (independent variable) - answers✔✔those that are not naturally measured
on a numerical scale
Factor Levels - answers✔✔the values of the factor used in the experiment
Treatments - answers✔✔the factor level combinations used
Experimental Unit - answers✔✔the object on which the response and factors are observed or
measured
Designed Study - answers✔✔one for which the analyst controls the specifications of the
treatments and the method of assigning the experimental units to each experiment
observational study - answers✔✔one for which the analyst simply observes the treatments and
the response on a sample of experimental units
, completely randomized design - answers✔✔a design in which the experimental units are
randomly assigned to the k treatments or in which independent random samples of
experimental units are selected for each unit
Sum of Squares for Treatments (SST) - answers✔✔the variation between the treatment means
Sum of Squares for Error (SSE) - answers✔✔measures the variability around the treatment
means that is attributed to sampling error
Mean Square for Treatments (MST) - answers✔✔measures the variability among the treatment
means
Mean Square for Error (MSE) - answers✔✔measures the sampling variability within the
treatments
Values of F statistic near 1 - answers✔✔indicate that the two sources of variation, between
treatment means and within treatments, are approximately equal - the difference between the
treatment means may be well attributable to sampling error, which provides little support for
the alternative hypothesis that the population treatment means differ
Values of F statistic well in excess of 1 - answers✔✔the variation among treatment means well
exceeds that within treatments and therefore support the alternative support that the
population means differ
Conditions required for a valid ANOVA F-Test: Completely Randomized Design - answers✔✔1)
The samples are randomly selected in an independent manner from the k treatment
populations ( this can be accomplished by randomly assigning the experimental units to the
treatments)
2) All k sampled populations have distributions that are approximately normal
3) the k population variances are equal
