A researcher measures the following scores for a group of people. The X variable is the number of errors on a math test, and the Y variable is the person's level of satisfaction with his/her performance.
A.) With such ratio scores, what should the researcher conclude about this relationship?
B.) How well will he be able to predict satisfaction scores using this relationship?
Participant Errors X Satisfaction Y
1 9 3
2 8 2
3 4 8
4 6 5
5 7 4
6 10 2
7 5 7
Sufficiency and Order Statistics
Let Y1<Y2<...<Yn be the order statistics of a random sample of size n from the uniform distribution over the closed interval [-theta, theta ]
having pdf f(x; theta ) = (1/2(theta))I[-theta , theta ](x).
Argue that the mle of theta; equals theta;hat= max(-Y1, Yn).
Demonstrate that the mle theta;hat is a sufficient statistic for theta;.
Define at least two ancillary statistics for this distribution
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