Uji Binomial Satu Sampel - Uji Binomial Non Parametrik SPSS

Summary

In this tutorial, the speaker introduces the binomial test and its application in SPSS for hypothesis testing related to population proportions. Using a real-life example of income sources in Pati, Central Java, the speaker demonstrates how to perform a binomial test on nominal data. Key steps include selecting variables in SPSS, interpreting the test's significance value, and understanding when to reject or accept the null hypothesis based on the results. The conclusion highlights the significance of the test in comparing proportions of employed and self-employed individuals.

Takeaways

• 😀 The binomial test is used to test hypotheses about a population proportion, specifically for qualitative data (nominal scale).
• 😀 The binomial test is a nonparametric statistical test, which is an alternative to the one-sample t-test when data doesn't meet normality assumptions.
• 😀 For quantitative data (interval or ratio), normality tests are needed before applying the one-sample t-test.
• 😀 If data is normally distributed, the one-sample t-test is used. If not, the binomial test is used as the alternative.
• 😀 The binomial test requires qualitative data where values are represented by categories (e.g., employed vs self-employed).
• 😀 A researcher in the example case studies income sources in Pati, Central Java, with 30 respondents—9 self-employed and 21 employed.
• 😀 The primary research question is whether the proportion of self-employed individuals is significantly different from the proportion of employed individuals.
• 😀 The significance level for the binomial test is set at 5% (0.05).
• 😀 In SPSS, the binomial test is run by selecting Analyze > Nonparametric Tests > Legacy Dialogs > Binomial.
• 😀 The result of the binomial test shows an exact significance (2-tailed) value of 0.043, which is less than 0.05, indicating a significant difference in income sources.
• 😀 If the exact sig (2-tailed) value is less than 0.05, there is a significant difference between the two groups; if it's greater, no significant difference is found.

Q & A

What is the main purpose of the binomial test discussed in the script?

The binomial test is used to test hypotheses about a population proportion, particularly when dealing with qualitative or nominal data.

Why is the binomial test considered a nonparametric statistical method?

It is classified as nonparametric because it does not require assumptions about the population distribution, such as normality, and is suitable for nominal data.

When should a researcher use a one-sample t-test instead of a binomial test?

A one-sample t-test should be used when the data is quantitative (interval or ratio scale) and normally distributed.

In the given case example, what is the research question being investigated?

The researcher wants to determine whether the proportion of people in Pati City who are self-employed differs from the proportion of those who are employed.

What were the observed frequencies of income sources in the sample of 30 respondents?

There were 9 self-employed individuals and 21 employed individuals.

How were the data values coded for the binomial test in SPSS?

Value 1 represented 'employed' and value 2 represented 'self-employed'.

What criteria are used to interpret the results of the binomial test?

If the exact sig (2-tailed) value is less than 0.05, there is a significant difference between the proportions. If it is greater than 0.05, there is no significant difference.

What was the exact sig (2-tailed) value in the SPSS output for the example case?

The exact sig (2-tailed) value was 0.043.

What conclusion was drawn from the binomial test results?

Since 0.043 is less than 0.05, the proportions of employed and self-employed individuals are significantly different.

Why is SPSS used in this analysis, and which version was mentioned?

SPSS is used because it provides a straightforward way to perform statistical tests such as the binomial test. The version used in the script was SPSS 23.

Which SPSS menu path was used to perform the binomial test?

Analyze → Nonparametric Tests → Legacy Dialogs → Binomial.

What should viewers do if they are still confused about the material?

They are encouraged to leave questions in the comments section for further clarification.