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What is CHI-SQUARE Test?

Chi-Square tests are appropriate for nominal-level measurements in which the samples are counts of items arranged in categories. For example college students can be categorized according to whether they are freshmen, sophomores, juniors’ or seniors. If a sample of college students is taken and the number of students in each of the four categories is recorded, then those data are nominal-level measurements that can be analyzed with a chi-square test.

Chi-Square tests evaluate whether the observed frequencies in the various categories differ significantly from the frequencies that are expected under a specified set of assumptions. For such a test the chi-square test statistic: 

X2 = KΣi = 1 [(oiEi)2/Ei

Where oi is the observed number of items in category i and Ei is the expected number of items in category I if the null hypothesis is true. The summation is overall k categories of the data. Here the test statistics is based on the square of the differences, so that the sample values are always positive. 

When the observed frequencies are similar to the expected frequencies, then the sampling distribution of the test statistics is approximately a chi-square distribution, which is a family of distribution with the single parameter, degrees of freedom v. For small degrees of freedom (v<10), then X2 distribution is skewed to the right. But, as the degree of freedom increase, the distribution approaches a normal distribution. 

In the chi-square test, the degrees of freedom are set by the number of categories rather than by sample size. Sample size is important; however it is helpful in determining closely the chi-square distribution of the test statistic; the larger the sample size; the most common requirement is that all expected frequencies should be at least 5.
Chi-Square tests have some assumptions that are as follows:

• Independent sampling
• A mutually exclusive category that is each item fits one and only one category.
• An exhaustive list of categories includes all items in the sample. 

The tests are performed on frequencies they are not appropriate for percentages or proportions.

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At HelpWithAssignment we are proud to have on board a team of highly qualified and extensively experienced online Chi-Square Tests assignment experts holding masters and PhD.

  • With a PhD in Statistics our lead assignment help expert has over ten years of extensive experience in writing stats assignments including Chi-Square tests assignments for students and helping them get top grades.
  • Our next Chi-Square test assignment help expert has a masters degree in stats and is currently pursuing her PhD. Her in-depth knowledge and thorough research in the field make her assignment writing an asset for the students.
  • He is currently working as a guest lecturer in one of the leading universities of London. With his extensive experience in teaching post receiving his doctoral degree he is proficient in following all the recognized methods of referencing followed by the major institutes. His accurate and lucid assignment writing has helped many students score great marks in their assignments. 

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“As an undergraduate statistics student at one of the leading institutes in  London  I was finding it increasingly difficult keeping up with the assignments with the rest of the class. I was especially hassled with my Chi-Square test assignment. The assignment help expert at HelpWithAssignment helped me out totally and now I’m confident about the topic.“Louise Craig, Aug 2016

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