Statistics Repeated Measures ANOVA

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Today we are going to talk about repeated measures ANOVA.0002

So the repeated measures ANOVA is a lot like the regular one way independent samples ANOVA that we have been talking about.0004

But it is also a lot like the paired samples t-test and so we are going to talk about why we need the repeated measures ANOVA .0014

And we are going to contrast the independent samples ANOVA with the repeated measures0022

ANOVA and finally we are going to breakdown that repeated measures at statistic into its component variant parts.0027

Okay so previously, when we talked about one-way ANOVA we talk initially about why we0035

needed it and the reason why we need ANOVA is that the t-test is limited.0044

So previously we talked about this example, who uploads more pictures, Latino white Asian or black Facebook users?0049

When we saw this problem and we thought about maybe doing independent samples t-test we realize we would have to do a whole bunch of little t-test.0058

Well let us get this problem.0066

It is similar in some ways but it is also a little bit different so here is the question.0070

Which prototype is most frequently used on facebook?0076

Tagged, uploaded mobile uploads for profile pictures?0079

Now in the same way that this has many groups, at this all the problem also has many groups,0083

the one thing you could serve immediately tell us of that is if we try to use t-test we also have to use a bunch of little t-test here.0091

But here is another thing.0099

These variables are actually linked to one another.0102

Often people who have tagged photos have a number of uploaded photos who have a number of0104

mobile uploads will also have a number of profile pictures.0110

So in this sense although these are made up of four just separate groups of users and the user0114

here is the linked to any of the users and the other groups Latino, white, Asian, black groups, here we have these four sets of data.0121

Tagged, uploaded mobile or profile pictures but the number of tagged photos is linked to some0135

number of uploaded photos probably because they come from the same person and maybe this0146

person owns the digital camera that they really loving carry around everywhere.0153

So these scores in these different groups are actually linked to each other and these are what we0158

have called previously dependent samples or we called them paired samples before because0167

there were only two groups of them at that time but now we have four groups but we could still see that linked principle still hold.0173

So here were talking about were talking about different samples, multiple numbers samples0181

more than two but these samples are also linked to each other in some way.0188

And because of that those are called repeated measures because we are repeatedly measuring something over and over again.0194

Measuring photos here measuring photos here measuring photos here measuring photos here and because that is called repeated measures.0204

It is very similar to the idea of paired samples except were now talking about more than two.0211

So 3, 4, 5 we call those repeated measures so we have the same problem here as we did here.0217

If we have a bunch of t-test of our solution is a bunch of t-test, we have two problems whether their paired t-test or independent samples.0225