- #1

hisham.i

- 176

- 2

But i don't understand why we are comparing with the mean squared error and not the mean error?

What does the mean squared error represent?

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- Thread starter hisham.i
- Start date

- #1

hisham.i

- 176

- 2

But i don't understand why we are comparing with the mean squared error and not the mean error?

What does the mean squared error represent?

- #2

JaredJames

- 2,817

- 22

Let's say you have two error values: -1 and 1

The mean error value is 0.

The mean squared error is 1.

If I remember correctly, it is because you have alternating positive and negative values and no matter what you do you end up with 0 as the mean if you simply take the average of the exact values.

For example, with alternating current of 230V (UK standard supply) you have a sin wave with a maximum of +320V and a minimum of -320V. If you average these values you get an average voltage out of your wall socket of 0V - this is of no use to you.

So you use an RMS (Root Mean Squared) value to get a useful value.

In this case you have +320V and -320V. So you square them (+320

Add the squared values together (+320V

Square root them and then take the mean (Sqrt(+320V

This then gives you the RMS voltage. For the UK this is ~230V.

So by using a value such as your "squared error" you get a useful answer instead of 0 every time.

- #3

Phrak

- 4,265

- 2

But i don't understand why we are comparing with the mean squared error and not the mean error?

What does the mean squared error represent?

I'm sure you mean the

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