1.
The systematic samples gave me the following table of sample
means:
Sample Mean Employment Income Mean Government Income
1
176324.750
1241.625
2
160657.500
2855.625
3
147755.600
2631.000
4
150789.250
295.875
2.
The grand means are just the column means
STAT 410 Assignment 9 Solutions
1.
I intended these to be separate estimates. The formulas involved are 6.44 and
6.45 (with estimates plugged in for the population variances and covariances in
6.45) for the ratio estimate and standard error and 7.48 using
STAT 410 Assignment 2 Solutions
1.
I found S^2 to be 13.466. There are 20 samples and 20 corresponding values
of s^2 to find as in the following table. I used Excel to compute all these
values.
Sample
831
8 1 11
8 11 7
317
1 11 4
2.
s^2 Sample s^2 Sample
STAT 410 Assignment 3
Choose a Simple random sample of size 36 from the Stat Village population of
households. Get estimates and standard errors for the following parameters:
1.
Total Government Transfer Payments to households in this population.
2.
Avera
STAT 410 Assignment 5 Solutions
1.
4.2: In 4.4 replace rYbar by 1000/676 and use t=1.96 to get a confidence level
of 95% = 19/20.
2.
4.3: For a: First the coefficient of variation of Np is the same as the coefficient
of variation of p. So set cv(P) = 0.2
STAT 410 Assignment 4 Solutions
1.
The estimate is simply N times the proportion of the sample in favour which is
2000 x 120/200 = 1200. The estimated standard error is 2000 x sqrt(120/200 x
80/200) x sqrt(1-200/2000) / sqrt(199) (or you may use sqrt(200)
Last Years Midterm:
1. A recent survey by the polling organization Harris-Decima gave the following
% favoring the various political parties: liberals 36, conservative 26, NDP 7,
BU 7. The results are based on a sample of 2034 Canadian voters. Assume for
Appendix: R code & Results
> #*
>#
STAT 410 Project
>#
April 13, 2015
>#
Miguel Luis Valdez, Li Yong Xian
>#
Adrian De Leon, Sim Hong Jiang
>#
>#
> #*
> # Data Set Caveat:
> # The dataset contains the teacher's average salaries for the 60 school districts
STAT 410
Group Project
Adrian de Leon, Miguel Luis Valdez, Li Yong Xian & Sim
Hong Jiang
Introduction
Discrepancies in wage can often be the source of dissatisfaction in the
workplace. If an employee working in one city does the same job as another
employ
STAT 410 Assignment 8 Solutions
1.
6.1 You must decide whether or not it appears that inequality 6.18 is satisfied.
So you compute the sample correlations, means and standard deviations and
check.
2.
6.4 The answer is (b). The question is which estimate h
STAT 410 Assignment 10 Solutions
1.
The systematic samples gave me the following table of sample means:
Sample
1
2
3
4
Mean Employment Income Mean Government Income
176324.750
1241.625
160657.500
2855.625
147755.600
2631.000
150789.250
295.875
2.
The gran
STAT 410 Assignment 1 Solutions
Write a paragraph discussing methods for estimating the number of spelling errors in
the course text book. Do the same for estimating the number of occurences of the
letter `w'. Finally compare and contrast the two problems
1.
I intended these to be separate estimates. The formulas involved are 6.44 and
6.45 (with estimates plugged in for the population variances and covariances
in 6.45) for the ratio estimate and standard error and 7.48 using 7.56 for the
regression estimat
Stat 410, Spring 2013, Test 1
NAME:
(Two pages (sides) of notes are allowed.)
1. The following data are from a survey using simple random sampling
from a population of 1000 units. The sample y values are 12, 7, 5, and
6.
a estimate the population total.
1.
To estimate Total Government Transfer Payments to households in
this population you use the estimate in Theorem 5.4 and estimate
the standard error by using 5.12 and multiplying by N=1024.
2.
To estimate the Percentage of dwellings which are owner-occu
1.
5.1: For this population: Ybar1 = 1, Ybar2 = 7, S_1^2=1 and S_2^2 =13. You
also have N1=N2=3 so W1=W2=1/2. Neyman allocation gives n1=4 x 3 x
sqrt(1) / (3 x sqrt(1) + 3 x sqrt(13) and n2=4-n1 which round off to 1 and 3
respectively.
For the Neyman allo
1.
Write a paragraph discussing methods for estimating the number of spelling
errors in the course text book. Do the same for estimating the number of
occurences of the letter `w'. Finally compare and contrast the two problems.
The important difference be
1.
The estimate is simply N times the proportion of the sample in favour which is
2000 x 120/200 = 1200. The estimated standard error is 2000 x sqrt(120/200 x
80/200) x sqrt(1-200/2000) / sqrt(199) (or you may use sqrt(200) in place of
sqrt(199). This est
1.
Find S^2 to be 13.466. There are 20 samples and 20 corresponding values of
s^2 to find as in the following table. I used Excel to compute all these values.
Sample
831
8 1 11
8 11 7
317
1 11 4
2.
s^2 Sample s^2 Sample s^2 Sample s^2
39/3 8 3 11 49/3 8 3
1.
4.1: The standard error of p is smaller for P in the range 5% to 10%
than for P in the range 45% to 55%. The largest possible se for P in
the latter range occurs when P=50% so this is the value you plug in
to 4.1 with t=1, since this corresponds to 1 s
Choose a Simple random sample of size 36 from the Stat Village population of
households. Get estimates and standard errors for the following parameters:
1. Total Government Transfer Payments to households in this population.
2. Average Employment Income o
STAT 410 Assignment 6 Solutions
1.
5.1: For this population: Ybar1 = 1, Ybar2 = 7, S_1^2=1 and S_2^2 =13. You
also have N1=N2=3 so W1=W2=1/2. Neyman allocation gives n1=4 x 3 x
sqrt(1) / (3 x sqrt(1) + 3 x sqrt(13) and n2=4-n1 which round off to 1 and 3
r
STAT 410 Assignment 7 Solutions
To estimate Total Government Transfer Payments to households in
this population you use the estimate in Theorem 5.4 and estimate
the standard error by using 5.12 and multiplying by N=1024.
2. To estimate the Percentage of d
STAT 410
Assignment #6
Adrian de Leon
#301208324
Supplemental Question
> y = trees$Volume
> x = trees$Girth
> N = 31
> n = 10
> s = sample(N,n)
> r = mean(y[s])/mean(x[s])
> mux = mean(x)
> muhat_r = r*mux
> ssqr = (1/(n-1)*sum(y[s]-r*x[s])^2)
> varhat_r