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Re: School Pass rates

Posted by Dennis Deck on Sep 25, 2006; 11:47pm
URL: http://spssx-discussion.165.s1.nabble.com/Association-between-two-nominal-variables-tp1071026p1071030.html

While you could define a weighted rate easily enough, it is not clear:
  a) on what basis you would establish the weights for levels 1, 2, & 3
  b) does your policy or research question demand a weighted rate

Depending on what your policy or reporting concerns are, I would argue
that it might make more sense to define two or three rates such as:
   Type 1 pass rate
   Type 1 and 2 pass rate
   Type 1, 2 and 3 pass rate (this is the current unweighted pass rate)

For some purposes, you might instead define:
   Type 1 rate
   Type 2 rate
   Type 3 rate

Dennis Deck, PhD
RMC Research Corporation
[hidden email]

-----Original Message-----
From: russell [mailto:[hidden email]]
Sent: Friday, September 22, 2006 5:59 AM
Subject: School Pass rates

Dear Listers,

I am going to risk being called stupid, but I am nonetheless going to
ask for some help.

Assume X number of primary schools having primary school leaving
examinations. Those who pass go on to three different types of secondary
schools. Entry to one of the three secondary schools is based on the
final mark-the highest prestige is accorded secondary school type 1,
followed by secondary school type 2 and then secondary school type 3.
Normal pass rates are calculated per primary schools as simply (those
who passed/those who sat)*100. This is fine, but then two schools may
achieve the same pass rate (let's say 75%), but have their learners
placed in secondary schools of opposite quality. In a real sense, the
ordinary pass rate does not take the quality of the pass rate into
account. I would like to do so

Here is an imaginary data matrix



Learn sat
Learn pass
unweightpasrate
school type 1
school type 2
school type 3
weighted passrate??

Prim 1
20
15
75.0%
15
0
0


Prim 2
20
15
75.0%
0
0
15


Prim 3
20
10
50.0%
5
3
2


Prim 4
20
8
40.0%
2
2
4


Prim 5
20
20
100.0%
5
8
7


Totals
100
68

27
13
28


Many thanks,
Russell