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Analysis of Variance

 
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rpwalavalkar
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Joined: 20 Jul 2006
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PostPosted: Sun Jul 23, 2006 10:37 am    Post subject: Analysis of Variance Reply with quote

hi nick,

have tried and tried, but can't quite grasp the concept of 'analysis of variance' , came across a mcq and got all stems wrong. Sad .

could you explain this please?


raj
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Nick Raine-Fenning
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Joined: 27 May 2006
Posts: 1862
Location: Nottingham

PostPosted: Sun Jul 23, 2006 11:49 am    Post subject: Reply with quote

It's quite simple.

ANOVA (Analysis of Variance) is a test used to see if there are any significant differences between the means of 3 or more variables.

It is essentially a t-test but for more than 2 groups.

The 'variance' part comes from the fact the statistical analysis considers the distribution of the data / values around the mean.

In medicine we often use t-tests as we only have two datasets - treatment and placebo or pregnant and not pregnant for example.

These tests assume the data are normally distibruted.

Does that help?

Why don't you post the question and we cna have a look at it?
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rpwalavalkar
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PostPosted: Sun Jul 23, 2006 1:46 pm    Post subject: Reply with quote

hi,

the mcq was


analysis of varience

1. is a method of comparing 3 or more groups

2. assumes similar varience in each group

3. uses the t distribution for significance testing

4. requires the calculation of a varience factor F

5. requires equal numbers in each group
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Nick Raine-Fenning
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PostPosted: Sun Jul 23, 2006 2:13 pm    Post subject: Reply with quote

Goodness me you ask some difficult questions Wink

Analysis of variance


1. is a method of comparing 3 or more groups

True - see comments above


2. assumes similar variance in each group

True

The measurements / values should have a normal distribution and the same variance / standard deviation


3. uses the t distribution for significance testing

False

This relates to the t-test when comparing the means of two populations.

The F test (see below) is used.
This is an extension of the t test to more than two groups.


4. requires the calculation of a varience factor F

True

The varience factor F is a little more complex.

It is the ratio of the variances seen between and within groups. The larger the value of F the more signiifcant the result and thereofee the chance that the means of the groups differ.

There is a table of F values that the F value calculated in your population can be compared to. This includes the degrees of freedom available.


5. requires equal numbers in each group

False

It needs enough values in each group to allow assessment that the data are normally disributed but the exact number in each group often differs.
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Nick Raine-Fenning
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PostPosted: Sun Jul 23, 2006 2:13 pm    Post subject: Reply with quote

Well - how did I do?

Did I get them right?
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rpwalavalkar
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PostPosted: Sun Jul 23, 2006 2:44 pm    Post subject: Reply with quote

ALL CORRECT !!!! Smile


Question -- can i fracture my arm and take you to the exam as my writer????? Wink

raj
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Nick Raine-Fenning
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PostPosted: Sun Jul 23, 2006 2:45 pm    Post subject: Reply with quote

Of course ... I'll put a skirt on and let my hair grow Rolling Eyes
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rpwalavalkar
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PostPosted: Sun Jul 23, 2006 2:50 pm    Post subject: Reply with quote

Ha Ha Ha Laughing
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sasiselvam



Joined: 16 Aug 2006
Posts: 13
Location: india

PostPosted: Wed Aug 16, 2006 9:37 am    Post subject: Reply with quote

Hi NIck,

Thanks for the crystal clear explanation for ANOVA.Did a few related MCQ and got the ans correct.
May not remember me. Had attended the Essay technique course.

Sasi
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Nick Raine-Fenning
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PostPosted: Sun Aug 20, 2006 3:52 pm    Post subject: Reply with quote

Of course I remember you Very Happy

I am pleased the explanation helped you.

They are not easy these stats questions Razz
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