Computer Shopper 125/Computer Shopper CD-ROM Issue 125 (1998-07)(Dennis Publishing).iso/EuroMath/MathDemo/DataBase/learning/ID295.txt

Text File | 1996-10-23 | 4.5 KB | 243 lines

ε'({|})}|{({|})}|{({|})}|{({|})}|{({|})}|{({|})}|{({|})}|{|{({|})}|{
'({|})}|{
'({|})}|{    Fairness - LP h010105
'({|})}|{
'({|})}|{::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
'({|})}|{
'({|})}|{    AMENDMENT LOG:
'({|})}|{        1/10  D.B.
'({|})}|{
'({|})}|{({|})}|{({|})}|{({|})}|{({|})}|{({|})}|{({|})}|{|{({|})}|{



@seeAlso 4grouped distributions
@seeAlso 4questionnaires
@seeAlso 4bias



'@animate PasRaiseLeg,PasLowerLeg,PasRaiseLeg,PasLowerLeg,PasRaiseLeg,PasLowerLeg,PasRaiseLeg,PasLowerLeg
'@animate PasGetCup,PasRaiseCup,PasCheers,PasLowerCup,PasPoint




@atgraphic 3,5
@Picture datahand\H0105INT.bmp


@PlaySoundFile h1010501.wav

@animate PasGetCup



@at ,5
#<fairness#

@definition
@at 44,23
For some events, such as tossing a coin,
there are a fixed number of outcomes,
and an equal chance of getting any one
of the outcomes.
@at 10,
If you get the result you are expecting, the test
is fair. If you do not get the expected result,
chances are the test is unfair.


@WaitForSoundToFinish
'@at 10,+5
'LetÆs look at some examples.



@WaitForSoundToFinish
@animate PasSmile





@prompt
@At 10,108
@keyPoint 9999,a fair result (part 1)

'@animate PasGetCup

@PlaySoundFile h1010502.wav


#ba fair result#
'@at ,+2
When you roll a die, there are 6 possible results:

@atGraphic 50,136
@Picture datahand\H0105DC1.bmp
@wait .7

@animate PasWave

@atGraphic +25,
@Picture datahand\H0105DC2.bmp
@wait .7
@atGraphic +25,
@Picture datahand\H0105DC3.bmp
@wait .7

@animate PasGetCup

@atGraphic +25,
@Picture datahand\H0105DC4.bmp
@wait .7
@atGraphic +25,
@Picture datahand\H0105DC5.bmp
@wait .7
@atGraphic +25,
@Picture datahand\H0105DC6.bmp
@wait .7
@at +26,+17




@atGraphic 161,153
@Picture datahand\H0105DC6.bmp
The probability of rolling a      is 1/6
@wait .7

@atgraphic ,+13
@at ,+1
@Picture datahand\H0105DC5.bmp
The probability of rolling a      is 1/6
@wait .7

@atgraphic ,+13
@at ,+1
@Picture datahand\H0105DC4.bmp
The probability of rolling a      is 1/6
@wait .7

@atgraphic ,+13
@at ,+1
@Picture datahand\H0105DC3.bmp
The probability of rolling a      is 1/6
@wait .7

@atgraphic ,+13
@at ,+1
@Picture datahand\H0105DC2.bmp
The probability of rolling a      is 1/6
@wait .7

@atgraphic ,+13
@at ,+1
@Picture datahand\H0105DC1.bmp
The probability of rolling a      is 1/6


'@WaitForSoundToFinish
@animate PasSmile




@prompt
@keyPoint 9999,a fair result (part 2)




#ba fair result#
@at 10,
When you roll a die, there are 6 possible results:

@atGraphic 50,136
@Picture datahand\H0105DC1.bmp
@atGraphic +25,
@Picture datahand\H0105DC2.bmp
@atGraphic +25,
@Picture datahand\H0105DC3.bmp
@atGraphic +25,
@Picture datahand\H0105DC4.bmp
@atGraphic +25,
@Picture datahand\H0105DC5.bmp
@atGraphic +25,
@Picture datahand\H0105DC6.bmp
@at 10,+19

You have an equal chance of rolling any
number from 1 to 6 each time you roll the die.
@wait 0.5

@PlaySoundFile h1010503.wav

@animate PasWave


If you roll the die several times, you would
expect to get a similar number of 1s, 2s, 3s, 4s,
5s and 6s. If this happens, we say that the die
is #bfair#, or #bunbiased.#

@animate PasGetCup


@animate PasRaiseLeg,PasLowerLeg,PasRaiseLeg,PasLowerLeg,PasRaiseLeg,PasLowerLeg,PasRaiseLeg,PasLowerLeg




@prompt
@keyPoint 9999,an unfair result

@PlaySoundFile h1010504.wav

@animate PasRaiseCup,PasDrink,PasStopDrink,PasLowerCup

#ban unfair result#
@at ,+3
If you roll the die several times, and you do not
get the result you expected, chances are that
the die is loaded, so the experiment is ¿áÿô¢Ñ or
ö¢ôªùû.

@atGraphic 50,187
@Picture datahand\H0105DC6.bmp
@wait .7
@atGraphic +25,
@Picture datahand\H0105DC6.bmp
@wait .7
@atGraphic +25,
@Picture datahand\H0105DC5.bmp
@wait .7
@atGraphic +25,
@Picture datahand\H0105DC6.bmp
@wait .7
@atGraphic +25,
@Picture datahand\H0105DC3.bmp
@wait .7
@atGraphic +25,
@Picture datahand\H0105DC6.bmp


@prompt
@keyPoint 9999,summary
#bSummary#
@at ,+5
@Wait 0.75
   *   #^For events with a fixed number of
#Toutcomes, all of which are equally likely,
#Tyou can predict the results before you
#Tcarry out the experiment.
@at ,+3
@Wait 0.75
   *   #TIf the results are close to your prediction,
#Tthe experiment is #bfair#
@at ,+3
@Wait 0.75
   *   #TIf the results are not close to your
#Tprediction, the experiment is #bunfair#.