ANOVA 1.0.pptx

Analysis of Variance

1. ANOVA Dr. Suresh Kumar Murugesan PhD Yellow Pond

2. About the Presenter Dr.Suresh Kumar Murugesan is a passionate Professor, Researcher and Positive Mental Health Practitioner from Madurai, Tamil Nadu, India At present he is heading the PG Department of Psychology, The American College, Madurai, Tamil Nadu, India and Adjunct Professor, School of Behavioural Sceinces, Texila American University, He is very keen in research studies and open to learn. His ultimate aim is to make impression in the field of Knowledge His area of specializations are Psychomentry, Positive Psychotherapy, etc He has published 30 journal articles, 50 Conference and seminar proceedings Organised more than 750 webinars and acted as a resource person for 300 + webinar sessions Received 8 Awards and delivered 25+ Radio Talks Qualified UGC NET in Psychology and Education, Central Teacher Eligibility Test Published three books Yellow Pond

3. Disclaimer This presentation is prepared for learning purpose only and all the images and pictures used in this presentation are taken from google image search. Due recognition is given to all the material collected from the various sources. Any inclusion or modifications in this presentation pls feel free to contact me at. [email protected] Thank you Yellow Pond

4. Who? Yellow Pond

5. ANOVA ANOVA stands for Analysis of Variance. Developed by Ronald Fisher Yellow Pond

6. What? Yellow Pond

7. ANOVA ANOVA (Analysis of Variance) is a statistical test used to analyze the difference between the means of more than two groups. Yellow Pond

8. ANOVA In the case of comparing three or more groups, ANOVA is preferred. There are two elements of ANOVA: Variation within each group Variation between groups Yellow Pond

9. Types of ANOVA Yellow Pond

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11. One Way ANOVA One-Way Analysis of Variance tells us if there are any statistical differences between the means of three or more independent groups. Yellow Pond

12. Two way ANOVA A two-way ANOVA test is a statistical test used to determine the effect of two nominal predictor variables on a continuous outcome variable. A two-way ANOVA is used to estimate how the mean of a quantitative variable changes according to the levels of two categorical variables. Yellow Pond

13. Comparison Yellow Pond

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16. Interpretation The larger the F ratio, the more likely that the groups have different means. Higher F ratio values indicate the variation between groups is larger than the individual variation of groups. In such cases, it is more likely that the mean of the groups are different. By contrast, in case of lower F ratio values, the individual variation of groups are larger than the variations between groups. Thus, we can conclude that the elements in a group are highly different rather than the entire groups. Yellow Pond

17. Important Terms Yellow Pond

18. Important Terms Related to ANOVA Means (Grand and Sample) F-Statistics Sum of Squares Mean Squared Error (MSE) Hypothesis Group Variability Yellow Pond

19. Means (Grand and Sample) A sample mean is the average value for a group, whereas the grand mean is the average of sample means from various groups or the mean of all observations combined. Yellow Pond

20. F-Statistics F-statistic or F-ratio is a statistical measure that tells us about the extent of difference between the means of different samples. Lower the F-ratio, closer are the sample means. Yellow Pond

21. Sum of Squares The sum of squares is a technique used in regression analysis to determine the dispersion of data points. It is used in the ANOVA test to compute the value of F. Yellow Pond

22. Mean Squared Error (MSE) The Mean Squared Error gives us the average error in the data set. Yellow Pond

23. Hypothesis In ANOVA, we have Null Hypothesis and an Alternative Hypothesis. The Null hypothesis is valid when all the sample means are equal, or they don’t have any major difference. The Alternate Hypothesis is valid when at least one of the sample means is different from the other. Yellow Pond

24. Group Variability In ANOVA, a group is a set of samples within the independent variable. Between-group variability occurs when there is a significant variation in the sample distributions of individual groups. Within-group variability occurs when there are variations in the sample distribution within a single group. Yellow Pond

25. References Qualtrics (2022). What is ANOVA (Analysis Of Variance) and what can I use it for? https://www.qualtrics.com/au/experience-management/research/anova/ Rebecca Bevans (January 7, 2021). Two-way ANOVA | When and How to Use it, With Examples. https://www.scribbr.com/statistics/two-way-anova/ Noori, Abdullah. (2018). Re: Which test is better for comparing the data with unequal size? One way ANOVA or two way ANOVA?. Retrieved from: https://www.researchgate.net/post/Which_test_is_better_for_comparing_the_data_with_unequal_size_One_way_ANOVA_or_two_way_ANOVA/5b5b042ffdda4a2c881fb214/citation/download. Adam Hayes ( April 30, 2021 ). 2-Way ANOVA. https://www.investopedia.com/terms/t/two-way-anova.asp Soner Yıldırım ( Jan 8, 2021 ). What is ANOVA and When Do We Use It? https://towardsdatascience.com/what-is-anova-and-when-do-we-use-it-e0dcd8759c4e Will Kenton (October 06, 2021). Analysis of Variance (ANOVA). https://www.investopedia.com/terms/a/anova.asp Yellow Pond