{"id":572,"date":"2015-07-19T16:39:56","date_gmt":"2015-07-19T20:39:56","guid":{"rendered":"http:\/\/sites.berry.edu\/vbissonnette\/?page_id=572"},"modified":"2017-08-02T14:04:45","modified_gmt":"2017-08-02T18:04:45","slug":"contingency-test","status":"publish","type":"page","link":"https:\/\/sites.berry.edu\/vbissonnette\/index\/stats-homework\/documentation\/contingency-test\/","title":{"rendered":"Contingency Test"},"content":{"rendered":"

Example Homework Problem:<\/h3>\n

When polled about a proposition on an upcoming ballot, the responses of men and women were as follows:<\/p>\n\n\n\n\n\n
<\/td>\nAgree<\/td>\nUndecided<\/td>\nDisagree<\/td>\n<\/tr>\n
Men:<\/td>\n70<\/td>\n25<\/td>\n40<\/td>\n<\/tr>\n
Women:<\/td>\n30<\/td>\n20<\/td>\n25<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Do men and women differ in their attitudes towards this issue (alpha = .05)?<\/p>\n

If you would like help with the hand-written work for this problem, click here<\/a>.<\/p>\n

\n

In Stats Homework<\/i> pull down the Analyze<\/b> menu, choose Analysis of Frequency or Proportion<\/b>, and then choose Contingency Table<\/b>.<\/p>\n

Manually Entering Frequency Data<\/h4>\n

\"\"<\/a><\/p>\n

 <\/p>\n

In the first dialog, enter the names of both variables, and the number of levels of each. \u00a0Then click all the output options and click\u00a0Next Step<\/strong>.<\/p>\n

\"contin7\"<\/a><\/p>\n

Next, you will enter the column and row headings. \u00a0When finished, click\u00a0Next Step<\/strong>.<\/p>\n

\"contin8\"<\/a><\/p>\n

 <\/p>\n

Finally, you will enter the frequencies for each cell in your contingency table. \u00a0When finished, click the\u00a0Compute<\/strong> button.<\/p>\n

Basic Output<\/h4>\n

\"contin9\"<\/a><\/p>\n

Contingency Table<\/b>. This table summarizes all of the observed and expected frequencies, including the row and column totals.<\/p>\n

Cell Statistics<\/b>. This table lists the observed and expected frequencies for each cell. In addition, this table presents each cell’s contribution to the Chi Square statistic, and the total Chi Square statistic.<\/p>\n

Inferential Statistics<\/b>. This table presents the Chi Square statistic (3.13), its df<\/i> (2), and the p<\/i> value for the obtained value of Chi Square (.21).<\/p>\n

Optional Output<\/h4>\n

\"contin10\"<\/a><\/p>\n

Effect Size Statistics<\/strong>. \u00a0This table\u00a0includes the effect size statistic, Cramer’s V (.12) and Cohen’s w (.12). \u00a0 If you analyze a 2 X 2 contingency table, the Phi coefficient will be displayed instead of Cramer’s V.<\/p>\n

\"contin11\"<\/a><\/p>\n

Critical Values<\/b>. These are the values from a statistical table of critical values<\/a> for the Chi Square test. In our case, we are conducting a test with alpha = .05. So, we would compare the value of our obtained Chi Square (3.13) to 5.991.<\/p>\n

\"contin12\"<\/a><\/p>\n

Supplemental Statistics<\/strong>. \u00a0This table lists the contribution that each cell made toward the Chi-Squared statistic. \u00a0This can be used to double-check your hand-written solution to this problem.\"\"<\/a><\/p>\n

Bar Chart<\/strong>.\u00a0 This chart graphically illustrates the frequencies analyzed in the contingency test.\u00a0 It can display frequencies and relative frequencies, and it includes a number of options for reversing the variables and changing the appearance of the chart.<\/p>\n

\n

See the Hand-Written Work<\/a><\/p>\n

Return to Table of Contents<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

Example Homework Problem: When polled about a proposition on an upcoming ballot, the responses of men and women were as follows: Agree Undecided Disagree Men: 70 25 40 Women: 30 […]<\/p>\n","protected":false},"author":34,"featured_media":0,"parent":282,"menu_order":0,"comment_status":"open","ping_status":"open","template":"","meta":{"site-container-style":"default","site-container-layout":"default","site-sidebar-layout":"default","site-transparent-header":"default","disable-article-header":"default","disable-site-header":"default","disable-site-footer":"default","disable-content-area-spacing":"default","footnotes":""},"class_list":["post-572","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/sites.berry.edu\/vbissonnette\/wp-json\/wp\/v2\/pages\/572","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.berry.edu\/vbissonnette\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sites.berry.edu\/vbissonnette\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sites.berry.edu\/vbissonnette\/wp-json\/wp\/v2\/users\/34"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.berry.edu\/vbissonnette\/wp-json\/wp\/v2\/comments?post=572"}],"version-history":[{"count":9,"href":"https:\/\/sites.berry.edu\/vbissonnette\/wp-json\/wp\/v2\/pages\/572\/revisions"}],"predecessor-version":[{"id":1383,"href":"https:\/\/sites.berry.edu\/vbissonnette\/wp-json\/wp\/v2\/pages\/572\/revisions\/1383"}],"up":[{"embeddable":true,"href":"https:\/\/sites.berry.edu\/vbissonnette\/wp-json\/wp\/v2\/pages\/282"}],"wp:attachment":[{"href":"https:\/\/sites.berry.edu\/vbissonnette\/wp-json\/wp\/v2\/media?parent=572"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}