We'll call this sum of squares between.

我们称这个平方和为 between。

Let's actually, let's calculate the sum of squares between.

实际上，让我们计算两者之间的平方和。

So I'll call that SST. SS-- sum of squares total.

所以我称之为SST。SS - 总平方和。

So the sum of squares within was equal to 6.

所以里面的平方和等于6。

So the total sum of squares is equal to 30.

所以总平方和等于30。

The sum of squares between the samples is equal to 24.

样本之间的平方和等于 24。

And then just now we calculated the sum of squares between the samples.

然后刚才我们计算了样本之间的平方和。

The sum of squares between had 2 degrees of freedom.

之间的平方和有 2 个自由度。

But either way, now that we've calculated it, we can actually figure out the total sum of squares.

但无论哪种方式，现在我们已经计算过了，我们实际上可以计算出总平方和。

So the sum of squares within.

所以里面的平方和。

So let's call that the sum of squares within.

因此，我们称其为内部平方和。

So let's calculate the sum of squares within.

因此，让我们计算其中的平方和。

The sum of squares within each of the groups had 6 degrees of freedom.

每个组内的平方和有 6 个自由度。

So our sum of squares between had m minus 1 degrees of freedom.

所以我们的平方和有 m 负 1 个自由度。

Now, the first thing I want to do in this video is calculate the total sum of squares.

现在，我想在本视频中做的第一件事是计算总平方和。

So this is going to be equal to our sum of squares within, I should say, is 6.

所以这将等于我们的平方和，我应该说， 是 6。

Our sum of squares within had m times n minus 1 degrees of freedom.

我们的平方和有 m 次 n 减去 1 个自由度。

So the sum of squares, or we could say, the variation due to what's the difference between the groups, between the means, is 24.

所以平方和， 或者我们可以说，由于组之间、均值之间的差异而导致的变异是 24。

But since we're squaring and taking the sum of squares, this is always going to be positive.

但是因为我们要平方并取平方和，所以这总是正数。

This is equal to mn minus 1 degrees of freedom, which is exactly the total degrees of freedom we had for the total sum of squares.

这等于 mn 减去 1 个自由度，这恰好是总平方和的总自由度。