36-226 HOMEWORK 4
Due: Friday 2/13/15 at 9:30am in class
Remember to show all work; just writing down the answer will not receive credit.
1. Weve seen that = Y and p =
V ar[] =
2
n
, V ar[] =
p
p(1p)
.
n
Y
n
are unbiased estimates of , p respectively with
Monday April 13, 2015
Last time: Simple Linear Regression; Least Squares (11.3, 11.4)
Today: Linear Regression Least Squares, Inference (11.4, 11.5)
Next Time: Linear Regression: Inference
Announcements:
No HW this week
HW 9 due Fri 4/24; HW 10 due Frid
36-226 HOMEWORK 9
Due: Friday 4/24/15 at 9:30am in class
Remember to show all work; just writing down the answer will not receive credit.
1. Weve dened the simple linear regression model as:
Yi = 0 + 1 Xi + i
where E[i ] = 0, Var[i ] = 2 where i , j are u
36-226 HOMEWORK 7
Due: Friday 3/27/15 at 9:30am in class
Remember to show all work; just writing down the answer will not receive credit.
1. Back to our altered Wackerly 10.17:
Recall that we were interested in the amount of breaststroke training (in mete
36-226 HOMEWORK 4 Solutions
Due: Friday 2/13/15 at 9:30am in class
Remember to show all work; just writing down the answer will not receive credit.
1. Weve seen that = Y and p =
V ar[] =
2
n
, V ar[] =
p
p(1p)
.
n
Y
n
are unbiased estimates of , p respect
36-226 HOMEWORK 7 Solutions
Due: Friday 3/27/15 at 9:30am in class
Remember to show all work; just writing down the answer will not receive credit.
1. Back to our altered Wackerly 10.17
Recall that we were interested in the amount of breaststroke training
36-226 HOMEWORK 10
Due: Friday 5/1/15 at 9:30am in class (Monday 5/4/15 by 5pm is also ne)
Remember to show all work; just writing down the answer will not receive credit.
1. In the MASS library in R, there is a famous data set on Leptograpsus Crabs. For
Wednesday April 8, 2015
Last time: Hypothesis Tests: Neyman-Pearson (10.10)
Today: Hypothesis Tests: N-P, Likelihood Ratio Test (10.11)
Next Time: Linear Regression (Ch 11)
Announcements:
RN No OH this afternoon; OH on Thursday 3:30-4:30pm
HW 8 due Frid
Wednesday March 25, 2015
Last time: Hypothesis Tests: Variances - One, Two Samples (10.8, 10.9)
Today: Hypothesis Tests: Type II Errors; Power of Tests (10.4,10.10)
Next Time: Hypothesis Tests: Neyman-Pearson (10.10)
Announcements:
HW 7 due Friday; dont
Monday April 6, 2015
Last time: Exam/Exam Overview
Today: Hypothesis Tests: Neyman-Pearson (10.10)
Next Time: Hypothesis Tests: Likelihood Ratio Test (10.11)
Announcements:
HW 8 due Friday
Final Exam Fri May 8th; Makeup Day Tue May 12th
Power of a Test
36-226 HOMEWORK 8 Solutions
Due: Friday 4/10/15 at 9:30am in class
Remember to show all work; just writing down the answer will not receive credit.
1. Use the NeymanPearson Lemma to nd the most powerful test for = 0.05 and its
corresponding power for the
Monday March 16, 2015
Last time: Estimation: CRLB, Exponential Family, Overview
Today: Hypothesis Tests: Intro, Large Sample 10.1 - 10.3
Next Time: Hypothesis Tests: Type II Errors, Sample Size
Announcements:
HW 6 due Friday 3/20
SURG/SURF proposals due
36-226 HOMEWORK 9 Solutions
Due: Friday 4/24/15 at 9:30am in class
Remember to show all work; just writing down the answer will not receive credit.
1. Weve dened the simple linear regression model as:
Yi = 0 + 1 Xi + i
where E[i ] = 0, Var[i ] = 2 where i
Monday January 12, 2015
Today: Overview of Course; Syllabus
Next Time: Probability Review (Ch 1-3)
Announcements:
Intro Survey on Blackboard under Course Info due Fri 1/16 9:30am
Describing Data.Statistical Inference:
Median Value of OwnerOccupied Homes
Monday March 23, 2015
Last time: Hypothesis Tests: Small Sample (10.8)
Today: Hypothesis Tests: Variances (10.9)
Next Time: Type II Errors; Power of Tests (10.4,10.10)
Announcements:
HW 7 due Friday: DONT WAIT TO START
SURG/SURF proposals due March 25th
Wednesday January 14, 2015
Last time: Overview of Course; Moving toward Inference
Today: Probability and R.V. Review
Next Time: Probability and R.V. Review, Part Deux
Announcements:
Intro Survey on Blackboard under Course Info due Fri 1/16 5pm
Reserve R
Friday April 3, 2015
Last time: The Test
Today: The Aftermath
Next Time: Hypothesis Tests: Continuing Power
Announcements:
HW 8 due Friday 4/10 9:30am in class
1. Let X1 , ., Xn be an i.i.d. sample from fX (x) =
x2 x
2 3 e
where 0 < x < , > 0.
Think befo
Monday March 30, 2015
Last time: Hypothesis Tests: Power, Power Curves
Today: Estimation Example Problems
Next Time: Review
Announcements:
Midterm 2 - Thurs 4/2 DH 2210 6:30pm-8:30pm
need to discuss conict with RN by Mon 3/30
OH: AR Tue 12-1pm, RN Wed 1
Wednesday April 15, 2015
Last time: Linear Regression: Least Squares, Properties (11.4, 11.5)
Today: Linear Regression: Properties, Inference
Next Time: Carnival
Announcements:
No HW this week
HW 9 due Fri 4/24; HW 10 due Friday 5/1
Theory Jeopardy Fri
Monday April 20, 2015
Last time: Linear Regression Inference (11.4, 11.5)
Today: Linear Regression: Analysis of Variance (Ch 13)
Next Time: One-Way/Two-Way Anova
Announcements:
HW 9 due Friday 4/25; HW 10 due Friday 5/1
Theory Jeopardy Friday May 1st
F
Friday April 10, 2015
Last time: Hypothesis Tests: N-P, LRT (10.10, 10.11)
Today: Intro Linear Regression (Ch.11)
Next Time: More Linear Regression
Announcements:
HW 8 due now; no HW due next week
Final Exam Fri May 8th; Makeup Day Tues May 12th
So far,
36-226 HOMEWORK 8
Due: Friday 4/10/15 at 9:30am in class
Remember to show all work; just writing down the answer will not receive credit.
1. Use the Neyman-Pearson Lemma to nd the most powerful test for = 0.05 and its
corresponding power for the following
36-226 HOMEWORK 6
Due: Friday 3/20/15 at 9:30am in class
Remember to show all work; just writing down the answer will not receive credit.
1. Recall that we can sometimes have more than one MOME for a parameter.
(often happens when the same parameter is pa
36-226 HOMEWORK 5 Solutions
Due: Monday 3/2/12 at 9:30am in class
Remember to show all work; just writing down the answer will not receive credit.
1. Back to our Rayleigh distribution from Exam 1:
2
Let Yi i.i.d. Rayleigh()
2y y
e
fY (y) =
where y > 0
Re
Friday January 16, 2015
Last time: Prob, Discrete/Continuous RV Review (Ch 2-4)
Today: Multiple RV Review; Functions of RV Review
Next Time: Functions of RV; Relationships between Distributions
Announcements:
Intro Survey due today 5pm (Blackboard)
No c
Wednesday January 28, 2015
Last time: Moments, Moment Generating Functions
Today: More Moment Generating Functions
Next Time: Relationships between Distributions, CLT
Announcements:
HW 2 due 1/30
Wed night review session: 7-8pm, Baker 235B (Thurs - Port