AND ANSWERS
A population where each element of the population is
assigned to one and only one of exactly two classes or
categories is a
Binomial Population
Goodness of fit test utilizes
Chi-square test
A goodness of fit test is never conducted as a
Lower tailed Test or a Two Tailed Test
An important application of the chi-square distribution does
not include:
making inferences about two population variances
A goodness of fit test is always
An upper tailed test
The degrees of freedom for a contingency table with 4 rows
and 3 columns is
6 ....... (Note: DF for contingency Table (N rows - 1)(M Columns -
1).
In order not to violate the requirements necessary to use the
chi-square distribution, a necessary requirement concerns
,a minimum expected frequency for each class
A chi-square goodness fit test can be used to determine
whether to reject or not reject a hypothesized probability
distribution when the population has
Normal Distribution
In a chi-square test using a p-value approach at a level of
significance of .05 and d.f.=15; the test statistic chi-square was
calculated to be = 22.307, and the area to the left of the test
statistic = .90. Based on this information, the decision of
goodness of fit test would be:
Do not reject the null hypothesis
In a chi-square test using critical-value approach at
a level of significance of 0.05 and d.f. = 15; the test
statistic chi-square was calculated to be = 25.0, and the
critical-value was determined to be = 24.996.
Based on this information, the decision of
goodness of fit test would be:
reject the null hypothesis
In a goodness fit test conducted to validate whether the
population has certain probability distribution with certain
assumed parameters, the decision was to reject the null
hypothesis, based on this information the conclusion of the
hypothesis test is
that:
, the population does not have the probability distribution
considered with assumed parameters
Multinomial distribution
a probability distribution for an experiment in which each trial
has more than two outcomes. is the probability distribution of
the outcomes from a multinomial experiment.
Goodness of fit
a statistical model describes how well it fits a set of
observations. typically summarize the discrepancy between
observed values and the values expected under the model in
question. Use Chi-square Test
Test of Independence
Contingency Table Test. used to determine if there is a
significant relationship between two nominal (categorical)
variables. The frequency of each category for one nominal
variable is compared across the categories of the second
nominal variable. Use Chi-square Test
ANOVA (analysis of variance)
Statistical models and their associated estimation procedures
(such as the "variation" among and between groups) used to
analyze the differences among group means in a sample. Use F
test.
Simple Linear Regression