Show Chapter 17: Chi-Square Tests Chapter Outline 17.1 Parametric and Non-Parametric Statistical Tests 17.2 The Chi-Square Test for Goodness of Fit The Null Hypothesis for the Goodness-of-Fit Test The Data for the Goodness-of-Fit Test Expected Frequencies The Chi-Square Statistic The Chi-Square Distribution and Degrees of Freedom Locating the Critical Region for a Chi-Square Test An Example of the Chi-Square Test for Goodness of Fit In the Literature - Reporting the Results for Chi-Square Goodness of Fit and the Single-Sample t Test 17.3 The Chi-Square Test for Independence The Null Hypothesis for the Test for Independence Observed and Expected Frequencies The Chi-Square Statistic and Degrees of Freedom An Example of the Chi-Square Test for Independence 17.4 Measuring Effect Size for the Chi-Square Test for Independence The Phi-Coefficient and Cramér’s V 17.5 Assumptions and Restrictions for Chi-Square Tests 18.6 Special Applications of the Chi-Square Tests Chi-Square and the Pearson Correlation Chi-Square and the Independent-Measures t and ANOVA The Median Test for Independent Samples Learning Objectives and Chapter Summary 1. Students should recognize the research situations in which a chi-square test is appropriate. Chi-square tests are intended for research questions concerning the proportion of the population in different categories. For a chi-square test, there is not a numerical score for each individual and you do not compute a sample mean or a sample variance. Instead, each individual is simply classified into a category and you count the number of individuals in each category. The resulting data are called observed frequencies. Instructor Notes - Chapter 17 - page 249 Learn more about Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below. Which of the following accurately describes the chi-square test for independence? Select one: a. It is similar to a single-sample t test because it uses one sample to test a hypothesis about one population b. It is similar to a correlation because it uses one sample to evaluate the relationship between two variables_ c. It is similar to an independent-measures t test because it uses separate samples to evaluate the difference between separate populations_ d. It is similar to both a correlation because it can be used to evaluate a relationship between variables Which of the following accurately describes the chi-square test for independence? It is similar to both a correlation and an independent-measures t test because it can be used to evaluate a relationship between variables Or a difference between populations_ It is similar to a single-sample t test because it uses one sample to test a hypothesis about one population. It is similar to a correlation because it uses one sample to evaluate the relationship between two variables_ It is similar to an independent-measures t test because it uses separate samples to evaluate the difference between separate populations_ 20.Which of the following accurately describes the chi-square test for independence?a.It is similar to a single-sample t test because it uses one sample to test a hypothesisaboutone population.b.It is similar to a correlation because it uses one sample to evaluate the relationshipbetween two variables.c.It is similar to an independent-measures t test because it uses separate samples to evaluatethe difference between separate populations.d.It is similar to both a correlation and an independent-measures t test because it can be usedto evaluate a relationship between variables or a difference between populations.ANS:DPTS:1REF:p. 606TOP:17.2 21.A chi-square test for goodness of fit is used to examine the distribution of individuals across threecategories, and a chi-square test for independence is used to examine the distribution of individuals ina 2-2 matrix of categories.Which test has the larger value for df?PTS:1REF:p. 609TOP:17.3 Get answer to your question and much more 22.A chi-square test for goodness of fit is used to examine the distribution of individuals across fourcategories, and a chi-square test for independence is used to examine the distribution of individualsacrossthe six categories in a 2-3 matrix of categories.Which test has the larger value for df?PTS:1REF:p. 609TOP:17.3 Get answer to your question and much more
23.A chi-square test for independence is used to evaluate the relationship between two variables.If bothvariables are classified into two categories, then what is the df value for the chi-square statistic?PTS:1REF:p. 609TOP:17.3 Get answer to your question and much more 24.What is evaluated by the chi-square test for goodness of fit? Which of the following accurately describes the chiWhich of the following accurately describes the chi-square test for goodness of fit? It is similar to a single-sample t test because it uses one sample to test a hypothesis about one population.
What is a chiStatistical test used to evaluate how well a set of observed values fit the expected values. The probability associated with a calculated chi-square value is the probability that the differences between the observed and the expected values may be due to chance.
What does it mean to have a good fit in chiIn Chi-Square goodness of fit test, the term goodness of fit is used to compare the observed sample distribution with the expected probability distribution. Chi-Square goodness of fit test determines how well theoretical distribution (such as normal, binomial, or Poisson) fits the empirical distribution.
Which of the following is always true for a chiWhich of the following is always true for a chi-square test for goodness of fit or a test for independence? If other factors are held constant, increasing the sample size for a chi-square test for independence will increase the likelihood of rejecting the null hypothesis.
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