Statistical test discuss 5
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This document describes 11 statistical tests, including their use/function, level of measurement, type of data, and sample problems. The tests covered are: Pearson R, Spearman Rank Order, One Population Z-Test, Z-Test of Independent Proportions, Z-test of Dependent Proportions, T-Test of Independent Means, T-Test of Dependent Means, Chi-Square Test of Goodness of Fit, Chi-Square Test of Independent Proportions, One-Way Analysis of Variance (ANOVA I), and Two-Way Analysis of Variance (ANOVA II). Each test is used to analyze different types of data and answer different statistical questions.
Statistical test discuss 5
- 1. Statistical Test USE/FUNCTION; LEVEL OF MEASUREMENT; TYPE OF DATA; SAMPLE PROBLEM
- 2. 1. Pearson R STAT TEST USE/ FUNCTION LEVEL/SCALE OF MEASUREMENT TYPE OF DATA SAMPLE PROBLEM Pearson R Determine if there is a relationship/ correlation between two variables of the interval or ratio type Interval/Ratio Entrance exams, scores, ratings, grades, self motivation scores, self concept scores Is there a correlation between reading comprehensio n and creativity?
- 3. 2. Spearman Rank Order/ Spearman Rho STAT TEST USE/ FUNCTION LEVEL/SCALE OF MEASUREMENT TYPE OF DATA SAMPLE PROBLEM Spearman Rank Order/ Spearman Rho Determine if there is a relationship/ correlation between 2 variables of the ordinal type Ordinal Ranked scores of creativity and reading comprehension ; self concept and motivation Is there a relationship between reading comprehension and creativity?
- 4. 3. One Population Z-Test STAT TEST USE/ FUNCTION LEVEL/SCALE OF MEASUREMENT TYPE OF DATA SAMPLE PROBLEM One Population Z-Test Determine if the sample population was drawn from the population with known parameters Interval/Ratio Population Mean and sample Mean Is there a difference between the population mean and sample mean?
- 5. 4. Z-Test of Independent Proportions STAT TEST USE/ FUNCTION LEVEL/SCALE OF MEASUREMENT TYPE OF DATA SAMPLE PROBLEM Z-Test of Independent Proportions Determine if there is significant difference between 2 independent or 2 different groups or situation that call for different responses Nominal 2 Groups -Male/Female - Teachers/Students -Yes/No -Agree/Disagree -In Favor/ Against Is there a significant difference between the academic performance of male and female Grade 7 students?
- 6. 5. Z-test of Dependent Proportions STAT TEST USE/ FUNCTION LEVEL/SCALE OF MEASUREMENT TYPE OF DATA SAMPLE PROBLEM Z-test of Dependent Proportions Determine if there is a significant difference between pairs of observation from a single group (responses before and after) Nominal One Group -30 students who are in favor…. -agree/disagree -yes/no -Pretest/Post Test Is there a significant difference between the proportions of students who are in favor of participating in a contest before and after the orientation?
- 7. 6. T-Test of Independent Means STAT TEST USE/ FUNCTION LEVEL/SCALE OF MEASUREMENT TYPE OF DATA SAMPLE PROBLEM T-Test of Independent Means Determine if there is a significant difference between two independent groups in terms of mean Ratio/ Interval Mean/ Standard Deviation, No. of frequency of experimental and Control Group Is there a significant difference between the experimental group and control group in terms of achievement in Science?
- 8. 7. T-Test of Dependent Means STAT TEST USE/ FUNCTION LEVEL/SCALE OF MEASUREMENT TYPE OF DATA SAMPLE PROBLEM T-Test of Dependent Means Determine of there is a significant difference between 2 groups of 2 sets of correlated scores (Pre and post) Ratio/Interval Pre and post Test Scores Is there a significant difference between the Pre-test and post Test Scores in Science of the Experimental Group?
- 9. 8. Chi-Square Test of Goodness of Fit STAT TEST USE/ FUNCTION LEVEL/SCALE OF MEASUREMENT TYPE OF DATA SAMPLE PROBLEM Chi-Square Test of Goodness of Fit Determine if there is significant difference between the observed distribution and expected distribution Nominal Strongly agree, Agree, No Opinion, Disagree, Strongly Disagree Is there a significant difference between the observed distribution and expected distribution of students’ responses.
- 10. 9. Chi-Square Test of Independent Proportions STAT TEST USE/ FUNCTION LEVEL/SCALE OF MEASUREMENT TYPE OF DATA SAMPLE PROBLEM Chi-Square Test of Independent Proportions Determine if there is a relationship/ correlation between two variables of the nominal type Nominal Sex: Male/Female Color preference Is there a relationship between sex and color preference?
- 11. 10. One-Way Analysis of Variance (ANOVA I) STAT TEST USE/ FUNCTION LEVEL/SCALE OF MEASUREMENT TYPE OF DATA SAMPLE PROBLEM One-Way Analysis of Variance (ANOVA I) Determine if there is a significant difference between 2 or more groups in terms of means Ratio/Interval -Medium of instruction as IV and Achievement in Science as DV -one control group and 2 experimental groups Are the three groups differ from each other in terms of achievement in Science?
- 12. 11. Two-Way Analysis of Variance (ANOVA II) STAT TEST USE/ FUNCTION LEVEL/SCALE OF MEASUREMENT TYPE OF DATA SAMPLE PROBLEM Two-Way Analysis of Variance (ANOVA II) Determine if there is a significant difference between 2 or more groups in terms of means Rational/Inter val 2 Independent variables -Medium of instruction and Method of teaching) Are the three groups differ from each other in terms of achievement in Science?