Analysis of Survey results
You can find the raw results
in this spreadsheet:
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gnumeric format.
[I slightly prefer gnumeric to Open Office.]
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ods format
[Open Office Calc is very similar to Microsoft Excel.]
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If you click on this link, it's likely the spreadsheet
will open in gnumeric; if not,
save the file, and open it with gnumeric.)
(Alternative instructions below.)
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Save this file
then open it
with Open Office Calc.
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Useful things to try in gnumeric are:
Insert → chart
and
Tools → Statistical Analysis → Histogram
Exploratory analysis: question 2
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Raw responses 'P' to
question 2 (vertical axis) versus the value of
the random number 'X' (horizontal axis).
Does X have an effect on P?
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Histogram of responses 'P' to
question 2.
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Cumulative frequency of responses 'P' to
question 2.
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Exploratory analysis: questions 3 and 4
1: Are Aunts different from Mothers?
Except for the two mega-aunts, does it look as if mothers
have bigger families than aunts?
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Notice that more points are below the line
(y=x) than above.
Is the difference between the numbers below and above the line significant?
(There are 16 above the line and 29 below. 4 are on the line.)
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2: Are Aunts' family sizes correlated with Mothers'?
We might expect so, since we know that some countries have
higher average numbers of children per woman than others.
Statistics has many ways to measure correlation.
A correlation coefficient is a standard quantity to
compute.
A rank-rank scatter plot is also a good idea, especially
in this problem, since our data contains outliers,
and a correlation coefficient is not robust to outliers.
Ranks, in contrast, are robust to outliers.
I haven't found an easy way to make a rank-rank scatter plot
yet in gnumeric, though it is certainly possible.
Back to the main survey page
Listen to a 'Yes Minister'
play, that explains how opinion pollsters can get
whatever answer they want to a question.
(Here are instructions for copying the gnumeric file
and opening it using a Terminal.)
mkdir survey
cp ~mackay/probability/survey/Responses.gnumeric survey
cd survey
gnumeric Responses.gnumeric
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