Exam 11: Data Analysis: Frequency Distribution, Hypothesis Testing, and Cross-Tabulation
In a short essay, list and discuss at least three statistics associated with cross-tabulation.
a. Chi-square - this statistic is used to test the statistical significance of the observed association in a cross-tabulation. It assists a researcher in determining whether a systematic association exists between the two variables.
b. Phi coefficient - this is used as a measure of the strength of association in the special case of a table with two rows and two columns. The phi coefficient is proportional to the square root of the chi-square statistic.
c. Contingency coefficient - while the phi coefficient is specific to a 2 × 2 table, the contingency coefficient can be used to assess the strength of association in a table of any size. This index is also related to chi-square.
d. Cramer's V - this is a modified version of the phi correlation coefficient and is used in tables larger than 2 × 2. When phi is calculated for a table larger than 2 × 2, it has no upper limit.
A measure of how close the sample has come to the null hypothesis is called the test statistic.
True
Standard deviation is the square root of the variance and is expressed in the same units as the data.
True
Type II error occurs when the sample results lead to nonrejection of a null hypothesis that is in fact false.
The power of a test is the probability of accepting the null hypothesis when it is in fact true and should be accepted.
A statement that some difference or effect is expected is called a null hypothesis.
In commercial marketing research, the one-tailed test is used more often than a two-tailed test.
Data collected in social media often lend themselves to basic analysis involving frequencies, percentages and cross-tabulations.
The null hypothesis refers to a specified value of the population parameter, not a sample
statistic.
Which of the following is used to estimate the average when the data have been collected using an interval or ratio scale?
An alternative hypothesis is a statement of the status quo, one of no difference or no effect.
If the distribution is asymmetric and the variable is measured on a nominal scale, the ________ should be used as a measure of location.
The ________ is the probability of rejecting the null hypothesis when it is false and should be rejected.
According to the text, which of the following represents the highest peak of the distribution?
A measure of central tendency given as the value above which half of the values fall and below which half of the values fall is called the ________.
A test of the null hypothesis where the alternative hypothesis is not expressed directionally is called a one-tailed test.
The ________ should be used as a measure of location if the distribution is asymmetric and the variable is measured on an ordinal scale.
The difference between the smallest and largest values of a distribution is called the variance.
________ occurs when the sample results lead to the rejection of a null hypothesis that is in fact true.
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