Advanced Statistics Syllabus 2011/2012
Fall Term Unit 1: Exploring Data and Distributions/Numerical Descriptions of Data
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Lesson |
Assignment Number |
Assignment |
| R: topic 1: data and variables | 1(c) |
R: Act 1-1, Act 1-2, Act 1-3 |
| R: topic 1: data and variables | 2(c) |
R: Act 1-4, Act 1-6, Act 1-7, Act 1-12, Act 1-13 |
| Y: 1.1 Bar Graphs, Stemplots, Dotplots | 3(c) |
Y: read and study sec. 1.1 pg 39-46; pg 46/ 1.1, 1.2, 1.3, 1.4, 1.6 |
| Y: 1-1 /Data in the calculator;Histograms;Relative Frequency and Cumulative Frequency | 4(c) |
Histograms ws |
| Y: 1-1 Time Plots | 4(c) |
See Y pg 63; pg 64/ 1.13-1.17 |
| R: Topic 7: Describing Distributions | 5(c) |
R: Act 7-2, Act 7-4, Act 7-7, Act 7-10 |
| R: Topic 7: Describing Distributions | 6(c) |
R: Act 7-6, 7-12, 7-17 ; Study for quiz over everything we've don so far |
| Y:1-2Mean and Median(R: Act8.1) | 7(c) |
R: Act 8-1 - Act 8-4, Act 8-6, Act 8-7 |
Y:1-2: IQR, Quartiles, Boxplots |
8(c) |
R: Act 10.1 and Act 10.2 |
| Y: 1-2: Standard Deviation (R: Topic 9) | 9(c) |
R:Act 9-10, Act 9.13, Act 9.20; Y pg 83/ 1.35, 1.36 |
| Y: 1-2: Effects of Linear Transformations (R: Topic 10);Y: 1-2: Comparing Distributions | 10(c) |
Y: pg 97/ 1.45-1.50 |
| Y: 1-2: Standard Deviation (R:Topic 9)--intro to z scores | 11(c) |
R:Act 9-4, Act 9-5, Act 9-11 |
| Test 1-1 | Tues Sept 20 |
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Unit 2 :Density Curves and Normal Distributions
| Y: 2-1: z-scores/Percentiles (R:Topic 9) | 12(c) |
See Yates example 2.3 on pg 119; pg 121-122/ 2.5 (omit e) , 2.6, 2.8 |
| Y: 2-1: Density Curves | 13(c) |
pg 129/ 2.10, 2.12, 2.13, 2.14 |
| Y: 2-2: Emperical Rule (R: Topic 9) | 14(c) |
Yates: read pg 133-137; pg 137/ 2.24, 2.25, 2.26 |
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Intro to Fathom |
Study for quiz over percentiles, z-scores and emperical rule. Quiz on Tues 9/27 | |
| Y:2-2: Normal Probability Calculations (R: Topic 12) | 15(c) |
R: Act 12-1, Act 12-2 |
| Y:2-2: Normal Probability Calculations (R: Topic 12) | 16(c) |
see Y: pg 140-146 pg 147/ 2.31-2.36 |
| Y: 2-2 : Assessing Normality (R: Topic 12) | 17(c) |
Y: pg 156/ 2.39 a-c, 2.40 ab |
| Y:2-2: Normal Probability Plots (R: Topic 12) | 18(c) |
See Yates pg 148-152; pg 152/ 2.37- 2.41 |
| Test 1-2 | Wed 10/5 |
Unit 3: Examining Relationships
| Y: 3-1 Scatterplots/Association (R: Topic 26) | 19(c) |
scatterplot of class data: foot vs height; span vs foot; put class data into lists in calculator |
| Y: 3-1 Scatterplots/Association/Correlation | 20(c) |
R: Act 27-2, Act 26-6, Act 26-7, Act 26-8, Act 26-9 |
| Y:3-1 Correlation (R: Topic 27) | 21(c) |
R: Act 27-13, Act 27-14, Act 27-17; study for quiz over scatterplots and association.See Yates pg 172-194 |
| Y: 3-2: Least Squares Regression (R: Topic 28) | 22(c) |
Y:pg 190/Act 3B; pg 207/Act 3C internet required |
| Y: 3-2: Least Squares Regression (R: Topic 28) | 23(c) |
See Y: pg 199-207; pg 204/3.29-3.32 |
| Y: 3-2/3-3: Least Squares Regression (R: Topic 28): | 24(c) |
R: Act 28-2, Act 28-6, Act 28-9 |
| Y: 3-2/3-3: Least Squares Regression (R: Topic 28): Residual Plots | 25(c) |
See Y: Sec 3.2 pg 199-211 pg 211/ 3.35, 3.38 pg 220/2.40, 3.42 |
| Y: 3-2/3-3: Least Squares Regression (R: Topic 28): Coefficient of Determination; | 26(c) |
Y: pg 277/ 3.43, 3.44 |
27(c) |
Y: Case Closed; pg 248/1-8 (due thurs 10/27 | |
| Y: 3-2/3-3:Outliers and Influential observations | 28(c) |
See Y: pg 233-240; pg 238/ 3.61; pg 253/ 3.81, 3.83 |
| Test 1-3 | Fri 10/28 |
Unit 4: Transformations and Two Way Tables
| Y: 4-1: Tranformations to Achieve Linearity | 29(c) |
See Yates Sec 4.1; pg 276/ 4.5, 4.9 |
| Y: 4-1: Tranformations to Achieve Linearity | 29(c) |
See Yates Sec 4.1; pg 276/ 4.5, 4.9 pg 285/ 4.11 (omit 2) pg 289/ 4.15, 5.16 |
| Y: 4-2/4-3: Two Way Tables | 30(c) |
Read and Study Y: Sec 4.2 pg 292-303; Bring Rossman for Thurs 11/3 |
| Y: 4-2/4-3: Two Way Tables | 31(c) |
R: Act 6-1, 6-2, 6-10, 6-11 |
| Y: 4-2/4-3: Two Way Tables; Simpson's Paradox | 32(c) |
R: Act 6-6, 6-7, 6-26 |
| Y:Sec 4.3 Establishing Causality | 32(c) |
Y: read and study Sec 4.3, pg 303-311; pg 312/ 4.41, 4.43, 4.45, 4.47, 4.48 |
| Test 1-4 | Thurs 11/10 |
Unit 5: Collecting and Producing Data
Begin Winter Term |
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| R: Topic 3. Introduction to Sampling; Sampling Bias | 33 |
See Y: sec 5.1 pg 330-333; pg 333/ 5.1, 5.2, 5.7, 5.8 |
| Jelly Blubbers Activity: SRS | 34 |
SRS of 30 Jelly Blubbers, calculate average length; R: Act 3-6, 3-9, 4-20 |
| Y: 5-1: Sampling Basics; Simple Random Samples and Other Sampling Designs | 35 |
Y: pg 341/ 5.10, 5.11; Study for Quiz over Y: Sec 5.1 |
36 |
Y: read pg 337-347; pg 347/ 5.15, 5.16, 5.17, 5.21, 5.22 | |
| Y: 5.2: Experimental Design | 37 |
Y: read and study pg 329; pg 333/ 5.3-5.5 Y: read and study pg 354-357; pg 357/ 5.33, 5.35-5.38 |
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Y: 5.2: Experimental Design |
38 |
Y: read pg 359-371; pg 364/ 5.39-5.41 |
| Y: 5.2: Experimental Design: Blocking and Matched pairs designs | 39 |
Y: see pg 367-371; pg 372/ 5.47, 5.48, 5.49 |
40 |
AP Experimental Design Practice Problems | |
| Test 2-1 | Tues 12/13 |
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Unit 6: Probablity and Simulation
Y: 6-1 Simulations |
41(c) |
Y: pg 398/ 6.5, 6.6; Odds of That Study Highlights: Law of Large Numbers, Counterintuitive nature of randomness (why our brains are not wired to understand it); Birthday Problem. |
| Y: 6-1 Simulations | Study for quiz over simulations and "Odds of That". Quiz on Fri 1/6 | |
Y: 6-2: Introduction to Probability |
Y: Read Sec 6.2, pg 407-417 | |
Y:6-2: Probability Models; Basic Probability Rules |
42(c) |
Y: see pg 409-423; pg 416/ 6.30, 6.33, 6.36; pg 423/6.37- 6.41 |
Y:6-2: Independence, Venn Diagrams, Multiplication Rule
for Independent Events |
43(c) |
Y:see pg 435-439 pg 440/6.66, 6.67, 6.69, 6.70 |
Y:6-2 :General Addition Rules |
44(c) |
Read packet about 2 daughter problem; see ex 6.21 (pg 429) for false positive problem; pg 430/ 6.45, 6.48, 6.50, 6.51, 6.52 |
Y:6-3: Conditional Probability |
45(c) |
Y: see pg 442-446; pg 446/ 6.74- 6.78 |
Y: 6-3: Independence/Conditional Probablility |
46(c) |
Y:pg 448/see Ex 6.29; pg 451/6.79-6.82;pg 454/6.87, 6.89; AP Free Response Practice Problem |
Test 2-2 |
Thurs 1/19 |
Unit 7: Random Variables/Binomial and Geometric Distributions
| Y:7-1: Discrete and Continuous Random Variables | 47(c) |
study ex 7.4 on pg 474; pg 470/7.2, 7.3; pg 475/ 7.7-7.9;pg 479/7.17, 7.18 |
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Y: 7-2: Mean and Variance of Random Variables; Law of Large Numbers |
48(c) |
Y: see pg 481-491 pg 470/ 7.4, 7.5; pg 488/7.25-7.28; pg 491/ 7.34 |
| Y: 7-2: Rules for Means and Variances; Combining Random Variables | 48(c) |
Y: pg 499/ 7.38, 7.39, 7.40, 7.42; Study for quiz over everything but today's lesson. Quiz on Thurs 1/16 |
| Y: 8-1: Binomial Distribution | 49(c) |
Y: read pg 513-516; pg 516/ 8.1-8.6; Activity 8-1A (pg 512) do quiz simulation 20 times and record number of correct guesses for each quiz simulated. |
| Y: 8-1: Binomial Formulas | 50(c) |
Y: pg 519/ 8.7-8.12; pg 523/ 8.13a-c, 8.14, 8.15 use calculator commands on all problems |
| Y: Mean and Standard Deviation of Binomial Distribution; Normal Approximation to Binomial | 51(c) |
Y: pg 524/ 8.15, 8.16, 8.18; pg 529/ 8.19, 8.20, 8.22, 8.23 |
| Y: 8-2: Geometric Distribution | 52(c) |
Y: pg 500-552/ 8.48, 8.49, 5.50 a-g, 8.51 a,b |
| Test 2-3 | Tues 2/7 |
Unit 8: Sampling Distributions
| Y: 9-1: Sampling Distributions | 53(c) |
R: Act 13-3, Act 13-4 (use CLT formula on pg 265) |
| Y:9-1: Bias and Variability | 54(c) |
Y: see Sec 9.1 pg 564-580; pg 568/9.1, 9.2, pg 577-580/ 9.8, 9.10, 9.15 (use 1.708 for st.dev.), 9.17 |
| Y:9-2: Sample Proportions | ||
| Y:9-3: Sample Means | ||
| Y:9-3: Sample Means;Central Limit Theorem | ||
| Test 2-4 | Fri 2/17 |
Unit 9: Inference: Confidence Intervals
| Y: 10-1: Confidence Intervals;Introduction to Inference | |
| Y: 10-1: Confidence Intervals;Introduction to Inference | |
| Y: 10-1: Confidence Intervals;Introduction to Inference | |
| Y: 10-1: Sample Size; Margin of Error | |
| Y: 10-2: t-distribution | |
| Y: 10-2: paired T tests | |
| Y: 10-3: 10-3: Confidence Intervals for Proportions | |
| Test 3-1 |
Unit 10: Inference: Significance Tests
| R: Topic 17: Significance Tests: Basic Logic; Significance Test for a Population Proportion | ||
| R: Topic 17: Significance Tests: Basic Logic; Significance Test for a Population Proportion | ||
| R: Topic 17: Significance Tests: Basic Logic; Significance Test for a Population Proportion | ||
| R: Topic 20: Significance Tests for a Population Mean | ||
| R: Topic 20: Significance Tests for a Population Mean | ||
| Y: 12.1:Paired t- tests | ||
| R Topic 18 Relationship with Confidence Intervals;statistical significance vs. practical significance | ||
| Y: 11-4: Type I and Type II Errors; Powers | ||
| Test 3-2 | ||
Unit 11:Comparing Two Population Parameters
| Y: 13.1 Comparing Two Population Means | ||
| Y: 13.2 Comparing Two Population Proportions | ||
Unit 12: Inference: Categorical Variables/Chi-Square Procedures/Inference for Regression
| 14.1 Chi-Square Test of Goodness of Fit | ||
| 14.2 Chi-Square Test of Homogeneity of Populations | ||
| 14.2 Chi-Square Test of Association/Independence | ||
| Test 3-3 |
| AP Review :Scatterplots and Transformations | ||
| AP Review : Sampling and Experimental Design | ||
| AP Review: Probability and Sampling Distributions | ||
| AP Review: Inference |
AP TEST:
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