One Way ANOVA (Analysis of Variance): Introduction | Statistics Tutorial #25 | MarinStatsLectures

In One Way ANOVA (Analysis of Variance) video tutorial we will learn about one way analysis of variance (ANOVA) test, the purpose of ANOVA test, the null hypothesis and alternative hypothesis in ANOVA test, and the required assumptions for One Way ANOVA (Analysis of Variance).

What is the purpose of ANOA test? One Way Analysis of Variance (ANOVA) is used to compare the means of 3 or more independent groups.

What are the assumptions of ANOVA test? The One Way Analysis of Variance (ANOVA) test requires assuming independent observations, independent groups, that the variance (or standard deviation) of the two groups being compared are approximately equal or that the sample size for each group is large

What is the non-parametric equivalent of One Way Analysis of Variance (ANOVA)? The non- parametric alternative to ANOVA is Kruskal Wallis One Way Analysis of Variance ((The Kruskal–Wallis test by ranks, Kruskal–Wallis H test (named after William Kruskal and W. Allen Wallis), or one-way ANOVA on ranks), and Bootstrap (resampling) approaches are also another alternative to this test

Statistics tutorials that follow this one, introduce the analysis of variance as a concept and explains sum of squares in ANOVA test, the calculation of the test statistic for ANOVA, and conducting post-hoc multiple comparisons.

■ Table of Content

0:00:03 what is ANOVA (Analysis of Variance)?
0:00:39 What is a one-way analysis of variance (one-way ANOVA)?
0:00:57 ANOVA Step by Step with an example
0:02:17 ANOVA test null hypothesis
0:02:44 ANOVA test alternative hypothesis
0:04:19 What are the assumptions for ANOVA test
0:04:22 what are large sample assumptions
0:06:30 when do we use Kruskal-Wallis one-way analysis of variance
0:07:08 What is the difference between ANOVA and two-sample t-test
0:08:10 What is blocking or called stratified assignment in statistics

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Our Team:
Content Creator: Mike Marin (B.Sc., MSc.) Senior Instructor at UBC.
Producer and Creative Manager: Ladan Hamadani (B.Sc., BA., MPH)

These videos are created by #marinstatslectures to support some statistics and R programming language courses at The University of British Columbia (UBC) (#IntroductoryStatistics and #RVideoTutorials for Health Science Research), although we make all videos available to the everyone everywhere for free.

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[sanketsaharkars]

Thank you for creating videos on statistics, I am clearly able to understand concepts of statistics over here than in my class.

[zeynepibragimkyzy]

Was clueless, you saved my paper! Thank you very much!

[dwilliamhood]

I've been taking statistics courses since 1979 (four times in total). Over that time, I've noticed one thing that's consistent. Nobody teaches in a truly empathetic manner. Folks also use a lot of assumptive language. It's not that what's said isn't true (of course), but just because you're telling something something doesn't mean that you're really teaching. Stats experts may love this presentation, but people like me that are trying to learn get left out in the cold. :-(

[ClaudiaGarcia-vtfm]

Hello Marin, I wanna know about MANOVA analysis and how i can run an analysis in R, can you uploud some videos about it?

[alexisward]

Great video! Can you elaborate more on stratifying the data? How would that work if each category represents a different diet? Also--do you write backwards or do you mirror your video in-post?

[soumyasinha]

Excellent videos regarding categorical and continuous variables.cleared most of my doubts..But 1 doubt is remaining.please tell me the test to perform when x is a numerical/continuous variable and y is a categorical variable. I find this use cases in all classification problems

[collincherubim]

At the end you mention identifying "heavier" and "lighter" subjects and randomly distributing them between the 4 groups. This seems logical and like a good method to ensure each group is representative of a larger population. However, isn't this not actually "random" at all? How do we approach this idea in the sciences? Is it better to truly randomize in which case you might get some more heavy people in one group than any of the others, or is it better to tamper and homogenize through purposeful group assignment?

[roxiefirelight]

Thank you for posting this for us. Grad student and I dont understand any of it! : )

[almazababu]

good vedio. please would you help me how I can analysis the effect of different range of temperature on bacteria with one way anova? Thank you

[syhusada]

Can I use bootstrap and permutation with multiple groups such as shown in this video?

[gowthamcherukuri]

i love ur lecuters, but my professor told us, for anova we need to calculate the variances instead of means

[jessicacortes]

hi i have a research on motivation and its effects on job performance how can I use anova?

[sb-hftw]

Plzzzz make some video on 01~one way anova,
02~two way anova without replication and
03~two way anova with replication i.e. equal number of observations per cell in R with proper real life
Also on CRD, RBD and LSD in R.

[diegopenilla]

pretty cool how you write backwards :D

[Lumax]

Hi, I've got a question about when you say "in case of non-normality": would that mean as soon as one of the groups we want to analyze has non-normal distribution that the whole set of groups has to be treated as non-normal?

[somyajain]

When we use median as estimate why we use a non-parametric approach or bootstrapping why not parametric?

[navjotsingh]

You know it's about to go hardcore when they start writing backwards.

[jf_knows_nothing]

This guy is writing backwards and its blowing my mind. Even worse than the stats