--- title: 20210901_stat tags: 202109 --- # Statistics 統計學 ## Information - [Google Meet](https://meet.google.com/oxz-mquc-bqw), [Vedios有整理](https://drive.google.com/drive/folders/1GNB38NTAXpi_bUwizF2fAJiDKymvSH7r?usp=sharing), [Vedios未整理](https://drive.google.com/drive/folders/16Y6XGv6dr6Hs1-vWTCyLOmiygXtla_4Q?usp=sharing), [Jamboard](https://jamboard.google.com/d/1UnRtrK_skMaXZij_8d96vFKDeCA63-bfuVbrUSamaoI/edit?usp=meet_whiteboard), [Jamboard1106](https://jamboard.google.com/d/1n4KIphhwL45DvtalfbR8g_D6BR-yt2KUcNDfS4-NPns/edit?usp=sharing) - [專題報告實作懶人包](https://hackmd.io/RyNu7V3nToaT6Qb2WQujjw) - [Projects](https://hackmd.io/ngkvf98XRxq6f9GNReKa4A) ## Part I | Week | Topic | Homework| | --- | --- | ---| |1 (9/25) | [Overview](https://hackmd.io/hgWKLwqEQHmQ9Sg-p9jEJw)| Hw 1. || C01: Describing with graphs| 1R: 15, 19| || C02: Describing data with numerical measures | 2R: 3, 4, 17| | | C03: Describing bivariate data | 3R: 9, 16| || Set up HackMD project| | || Talk 1: Motivation | |2 (10/9) |[C04](https://hackmd.io/u0UieqBuR9yNnL_htqvHaQ?both): Probability | Hw 2| ||| 4.1: 25, 28| ||| 4.2: 29, 40| ||| 4.3: 24, 28| ||| 4.4: 32, 35| |3 (10/23) | [C05](https://hackmd.io/mJw00HlXQ6-nf4A_MKaQJg?both): Discrete Probability Distribution | *Hw3*. | ||4.5 |4.5: 13| |||4R: 8, 20| ||5.1 |5.1: 32| ||5.2 |5.2: 57| ||5.3 |5.3:20| |||5R: 13, 21| ||[C06](https://hackmd.io/FQomIK28R7CPBjFb-BNMaw): The normal distribution |6.1: 18. | ||6.1 | | | Cherry's Demo for EDA| |4 (11/6) | 6.2 The Normal Probability Distribution |*Hw4* (不用交) | || |6.2: 41, 42, 61| ||Review: 4.5, 5.1, 5.2, 5.3| |5 (11/20)|:apple: 實體上課| | | Exam 1 | | ||Talk 2: EDA || 0 :strawberry: Exam 1: 助教這周日(12/5)前，會將每位同學的考題拍照上傳，對考試分數有問題的同學，請在12/18前和助教或老師討論! :strawberry: Exam 2: 助教這周日(1/16)前，會將每位同學的考題拍照上傳，對考試分數有問題的同學，請在1/22前和助教或老師討論! ## Part II | Week | Topic | Homework| | --- | --- | ---| | 6 (12/4) | [7. Sampling distribution](https://hackmd.io/ob13IPT9QuWe_PQptLzeHw) | Hw5 (共八題) ||7.1 Sampling plans and experimental designs| ||7.2 Statistics and sampling distributions |7.2.1, 7.2.2| ||7.3 The central limit theorem and the sample mean|7.3.23| ||7.4 Assessing normality| ||7.5 The sampling distribution of the sample proportion|7.5.33 || 7.6 A sampling application: Statistical Process Control (skipped) | ||7. Review |7.R.3| | | [8. Large sample distribution](https://hackmd.io/J69rmaACSR-Q7BV3GtbXyg)| ||8.1 Where we've been and where we're going| ||8.2 Point estimation| 8.2.30 | ||8.3 Interval estimation|8.3.32, 8.3.37| | 7 (12/18)|[Jamboard 1](https://jamboard.google.com/d/1wKWHK3iBGCsZ-GNqtfE7uowQd8hIj75_d0cMpRjPy2A/viewer?f=14), [Jamboard 2](https://jamboard.google.com/d/1epf9bwpVOYMtbmcMToU8VbRMOhMVhGBp7cSvYeAiTXg/viewer?f=3) | Hw 6. | ||8.4 Estimating the difference between two population means| 8.4.16 ||8.5 Estimating the difference between two binomials proportions| 8.5.17 ||8.6 One-sided confidence bounds (skipped) | || 8.7 Choosing the sample size (skipped) | || 8. Review| || [9. Large sample tests of Hypotheses](https://hackmd.io/6_KUxQtRQr6H48S7U5OL1Q?both)| || 9.1 A statistical test of hypothesis |9.1.11 || 9.2 A large-sample test about a population mean|9.2.28 || 9.3 A large-sample test for the difference between two population means |9.3.15 || 9.4 A large-sample test of hypothesis for sa binomial proportion|9.4.16 || 9.5 A large-sample test of hypothesis for the difference between two binomial proportions|9.5.13 | 8 (1/1) | [10. Small sample](https://hackmd.io/qaQ0e_yAR1CBbVzBps8AAg?both) |Hw 7 (不用交 ||10.1 Student's t distribution [(15:37)](https://drive.google.com/file/d/1qE1UMbEMT1V5UmkWXSRET43_xK0FKPez/view?usp=sharing) | 10.1.13 ||10.2 Small-sample inferences concerning a population mean [(9:30)](https://drive.google.com/file/d/1P5vT1fTv03ioOzgYwLXxv5JxouYyLh-S/view?usp=sharing)| 10.2.19| ||10.3 Small-sample inferences for the difference between two population means: independent random samples [(8:01, ](https://drive.google.com/file/d/1DIpHCYY5Oyzcl4rAnd6UzhJPrE6XoPBU/view?usp=sharing)[17:30)](https://drive.google.com/file/d/1Z9jliY_1H-j6pCqT3xv_wqEcyH9-qSDH/view?usp=sharing)|10.3.19 ||10.4 Small-sample inferences for the difference between two population means: A paired difference test [(29:50)](https://drive.google.com/file/d/1J5Yi64LkpXiZ0S60xo5d73Y64o610ihy/view?usp=sharing)|10.4.14 ||10.5 Inferences concerning a population variance|10.5.17 ||10.6 Comparing two population variances [(22:34, ](https://drive.google.com/file/d/1GUWzqjdDHAwH9yEtJp82UyfMucbWCjeZ/view?usp=sharing)[15:10, ](https://drive.google.com/file/d/17m55XMgJ2hMuiieyoYLJPCTNXGx4egxp/view?usp=sharing)[6:00)](https://drive.google.com/file/d/10uiZ3Im5WX9QHSPSfb8qDbTWQ6qNhc86/view?usp=sharing)| 10.6.21 ||10.7 Revisiting the small-sample assumptions [(8:28)](https://drive.google.com/file/d/1lqFTB0XnhUZ_VERWyeQks5MBtfEZiP6T/view?usp=sharing)| | | [12. Linear regression](https://hackmd.io/uOuCUFXIQ2Ws8LxnT5nnRA) | || 12.1 Simple linear regression [(9:02](https://drive.google.com/file/d/181gpFAQ5yPOqfN3Ll0CL6CByF6y518Iz/view?usp=sharing)[, 6:47,](https://drive.google.com/file/d/1yxvnugdAjvpH6Ic75ZPzt8rRySHxJJl_/view?usp=sharing)[例子計算15:55,](https://drive.google.com/file/d/1jwzFQtxb_-h0Hisxyvyxfa1OW-A98HXb/view?usp=sharing)[數學推導 8:57)](https://drive.google.com/file/d/1LwWYZbwh7N4263SmyZ-zk5nwcYtiGCzX/view?usp=sharing) |12.1.8 || 12.2 An analysis of variance for linear regression [(ANOVA 12:36, ](https://drive.google.com/file/d/1rWSr94PBId69HmY0t9pAqea3PIMG_RDd/view?usp=sharing)[How to use ANOVA? 6:24)](https://drive.google.com/file/d/1gusAHToJeOEHejSCtk57PKYmTLi949oz/view?usp=sharing)|12.2.13 || 12.3 Testing the usefulness of the linear regression model [($H_0:\beta=0$, 9:04)](https://drive.google.com/file/d/19mmWkBGjiuHRRrQG7UXfDYWbpN0K0tL6/view?usp=sharing)| 12.3.16| |9 (1/15)|:apple: 實體上課 | | |Exam 2 | | | Talk 3: Final presentation| <!--| | [11: ANOVA](https://hackmd.io/LEgNGJhMQvOogZzrla4m-A)|---> <!-- || 12.4 Diagnostic tools for checking the regression assumption| || 12.5 Estimation and prediction using the fitted line| || 12.6 Correlation analysis| ||:apple: Check problem formulation for each project| ---> ## 3 talks for your project | Talk |Week |Topic | Details | | --- | ---|--- | --- | | 1 | w1 | Motivations | Prof. Teng checked the adequacy of the topic | | 2 | w5 | EDA (Ch 1, 2, 3) | Data collection and visualizations | | 3 | w9 | Final presentation (Ch4-13) |Problem formulaion and statistical analyisis | ### 教科書 Mendenhall, Beaver, and Beaver (2020) Introduction to Probability and Statistics, Metric Version 15th Edition, Cengage. ### 中文統計學參考書籍 1. [統計學，觀念與方法](https://shopee.tw/-%E5%A7%86%E6%96%AF-%E3%80%90%E7%8F%BE%E8%B2%A8%E3%80%91%E7%B5%B1%E8%A8%88%E5%AD%B8%EF%BC%9A%E8%A7%80%E5%BF%B5%E8%88%87%E6%96%B9%E6%B3%95-%E4%BA%8C%E7%89%88-%E7%AE%A1%E4%B8%AD%E9%96%94-%E8%8F%AF%E6%B3%B0-9789576095320-i.9366020.66170998): 深入淺出，字字珠璣！ 2. [統計，讓數字說話](https://www.eslite.com/product/1001122732687431): 做觀念釐清 3. [統計學的世界](https://www.books.com.tw/products/0010549101): 算是簡單版本的大學部統計教科書。缺點大概是一些比較新的議題沒有討論，但基礎應該很夠。 <!-- :strawberry: For STAT 2022 (Spring): - We should start form Chapter 7: CLT, CI, and Hypothesis test. - Have a quiz in the second or third week. ---> <!-- ## 非同步線上課程影片分段 (10/23) ### 影片分段 Part I 1. 簡介HackMD 更新，以及talk 2 (10/23)須知, 17:24。 2. Ch3: Scatter plot 3. Ch3: Correlation coefficients, 4. Ch3: Regression 5. Ch4: Probability 6. CH4: Interpretations of a probability of an event ### 影片分段 Part II 1. Ch4: Probability AXIOM and 2 Examples 2. Ch4: MN rule, Permutation 3. Ch4: Combination 4. CH4: Conditional probability and independence 5. Ch4: A second definition of independence ---> :::warning Last updated on 2022/1/15 by [Prof. Huei-Wen Teng](https://hackmd.io/cxnJOabrRQaLDY7w68_3MA). All right reserved. :::