NTHU STAT 3875 - Mathematical Statistics (undergraduate level)

NTHU STAT 3875 - Introduction to Mathematical Statistics (undergraduate level)

清華大學統計所數統導論 (大學部課程)

Sep 2018 ~ Jan 2019

Notes

(Jan 14) 作業總成績, 期末考成績, 學期總成績, 及成績統計。

(Jan 14) 期末考考題和解答。

(Jan 02) 期末考考古題及其解答。

(Jan 02) 期末考資訊及注意事項。

(Dec 27) 下周二上課日(1/1)，適逢開國紀念日放假，停課一次。

(Dec 03) 期中考考題、解答及成績統計。

(Nov 19) 期中考考古題其解答。

(Nov 19) 期中考資訊及注意事項。

(Sep 16) 有關助教及其office hour的資訊，請見Syllabus。

Syllabus
Lecture (You need to download and install Adobe Reader for reading the lecture notes.)

Lecture Notes

Lecture Notes with Hand-Written Notices

Video

01
Survey Sampling

Sep 11

(2380 views)

(592 views)

Sep 13

(491 views)

Sep 18

(454 views)

(331 views)

Sep 20

(328 views)

Sep 25

(325 views)

(262 views)

Sep 27

(289 views)

Oct 02

(556 views)

(313 views)

Oct 04

(268 views)

Oct 09

(258 views)

(213 views)

Oct 11

(217 views)

Oct 16

(233 views)

(188 views)

02
Comparing Two Samples

Oct 16

(376 views)

Oct 18

(240 views)

Oct 23

(247 views)

(211 views)

Oct 25

(218 views)

Oct 30

(234 views)

(192 views)

Nov 01

(214 views)

Nov 06

(216 views)

(205 views)

Nov 08

(220 views)

Nov 13

(231 views)

(178 views)

Nov 15

(198 views)

Nov 20

(211 views)

(169 views)

03
The Analysis of Variance

Nov 22

(433 views)

Nov 29

(260 views)

Dec 04

(236 views)

(205 views)

Dec 06

(243 views)

Dec 11

(255 views)

(209 views)

Dec 13

(240 views)

Dec 18

(264 views)

(199 views)

Dec 20

(201 views)

Dec 25

(210 views)

(188 views)

Dec 27

(215 views)

Jan 03

(286 views)

(275 views)

04
The Analysis of Categorical Data

05
Linear Regression Analysis

Assignment and solution

Homework Question Due Day Solution

1
(Note. In these problems, "simple random sample" is referred to as "s.r.s. without replacement")

Ch 7. #1, #3, #4, #5, #10, #34, #36 [Hint. For a random variable Z, we have Var(Z)=E(Z²)-[E(Z)]².], #37
Oct 02 sol

2
(Note. In these problems, "simple random sample" is referred to as "s.r.s. without replacement")

Ch 7. #15, #16, #22, #23, #27, #28, #31, #32
Oct 11
sol

(revised)

3
(Note. In these problems, "simple random sample" is referred to as "s.r.s. without replacement")

Ch 7. #41, #43, #44 [Note. C_x=σ_x/μ_x and C_y=σ_y/μ_y are coefficients of variation.], #45, #46, #47, #50 [Hint. For any two random variables W and Z, because |Cor(W, Z)|≤1, we have |Cov(W, Z)|≤Var(W)Var(Z).], #51
Oct 23 sol

4
(Note. In these problems, "simple random sample" is referred to as "s.r.s. without replacement")

Ch 7. #52, #53, #55, #57, #61, #64
Nov 01 sol

5
Ch 11. #2, #3, #5, #6, #10, #15, #16, #19
Nov 13 sol

6
Ch 11. #8, #21(a)(b)(c)(d) [Note. Here is the data.], #23, #24, #25, #31, #32, #34
Nov 22 sol

7
Ch 11. #12, #27
Ch 12. #4, Only need to prove the analogues of Theorem A, No need to prove the analogues of Theorem B, #5, #21 [Note. Here is the data.]
Dec 18 sol

8
Ch 12. #6, #8, #9, #10, #32(a)(d)(e) [Note. Here is the data.]
Dec 27 sol

9
Ch 12. #11, #16, #18 [Note. Here is the data.], #19, #29 [Note. Here is the data.]
Jan 03 sol

Notes
(Jan 14)	作業總成績, 期末考成績, 學期總成績, 及成績統計。
(Jan 14)	期末考考題和解答。
(Jan 02)	期末考考古題及其解答。
(Jan 02)	期末考資訊及注意事項。
(Dec 27)	下周二上課日(1/1)，適逢開國紀念日放假，停課一次。
(Dec 03)	期中考考題、解答及成績統計。
(Nov 19)	期中考考古題其解答。
(Nov 19)	期中考資訊及注意事項。
(Sep 16)	有關助教及其office hour的資訊，請見Syllabus。

	Lecture Notes	Lecture Notes with Hand-Written Notices	Video
01	Survey Sampling	Sep 11	(2380 views)	(592 views)
		Sep 13	(491 views)
		Sep 18	(454 views)	(331 views)
		Sep 20	(328 views)
		Sep 25	(325 views)	(262 views)
		Sep 27	(289 views)
		Oct 02	(556 views)	(313 views)
		Oct 04	(268 views)
		Oct 09	(258 views)	(213 views)
		Oct 11	(217 views)
		Oct 16	(233 views)	(188 views)
02	Comparing Two Samples
		Oct 16	(376 views)
		Oct 18	(240 views)
		Oct 23	(247 views)	(211 views)
		Oct 25	(218 views)
		Oct 30	(234 views)	(192 views)
		Nov 01	(214 views)
		Nov 06	(216 views)	(205 views)
		Nov 08	(220 views)
		Nov 13	(231 views)	(178 views)
		Nov 15	(198 views)
		Nov 20	(211 views)	(169 views)
03	The Analysis of Variance
		Nov 22	(433 views)
		Nov 29	(260 views)
		Dec 04	(236 views)	(205 views)
		Dec 06	(243 views)
		Dec 11	(255 views)	(209 views)
		Dec 13	(240 views)
		Dec 18	(264 views)	(199 views)
		Dec 20	(201 views)
		Dec 25	(210 views)	(188 views)
		Dec 27	(215 views)
		Jan 03	(286 views)	(275 views)
04	The Analysis of Categorical Data

05	Linear Regression Analysis

Homework	Question	Due Day	Solution
1	(Note. In these problems, "simple random sample" is referred to as "s.r.s. without replacement") Ch 7. #1, #3, #4, #5, #10, #34, #36 [Hint. For a random variable Z, we have Var(Z)=E(Z²)-[E(Z)]².], #37	Oct 02	sol
2	(Note. In these problems, "simple random sample" is referred to as "s.r.s. without replacement") Ch 7. #15, #16, #22, #23, #27, #28, #31, #32	Oct 11	sol (revised)
3	(Note. In these problems, "simple random sample" is referred to as "s.r.s. without replacement") Ch 7. #41, #43, #44 [Note. C_x=σ_x/μ_x and C_y=σ_y/μ_y are coefficients of variation.], #45, #46, #47, #50 [Hint. For any two random variables W and Z, because \|Cor(W, Z)\|≤1, we have \|Cov(W, Z)\|≤Var(W)Var(Z).], #51	Oct 23	sol
4	(Note. In these problems, "simple random sample" is referred to as "s.r.s. without replacement") Ch 7. #52, #53, #55, #57, #61, #64	Nov 01	sol
5	Ch 11. #2, #3, #5, #6, #10, #15, #16, #19	Nov 13	sol
6	Ch 11. #8, #21(a)(b)(c)(d) [Note. Here is the data.], #23, #24, #25, #31, #32, #34	Nov 22	sol
7	Ch 11. #12, #27 Ch 12. #4, Only need to prove the analogues of Theorem A, No need to prove the analogues of Theorem B, #5, #21 [Note. Here is the data.]	Dec 18	sol
8	Ch 12. #6, #8, #9, #10, #32(a)(d)(e) [Note. Here is the data.]	Dec 27	sol
9	Ch 12. #11, #16, #18 [Note. Here is the data.], #19, #29 [Note. Here is the data.]	Jan 03	sol