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## StatisticsInfo | Assignments | Lecture Notes | Resources | Syllabus | Roster | ||||||||||||||||||

Info
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Assignments
- for
**Tues Sep 9**- Send me (mahoney@marlboro.edu)
an email telling me you're registering for this class.
Or just email me the whole assignment. - Read chap 1, start reading chap 2.
(For those who don't have a copy of the textbook yet, there will be a copy on reserve in the library by Friday the 5th.) - Do the math diagnostic at statistics/diagnostic/diagnostic.html.
- Do exercises 1-7, 1-11, 2-7, 2-11.
- Send me (mahoney@marlboro.edu)
an email telling me you're registering for this class.
- for
**Tues Sep 16**- Finish reading chapter 2. (For those who don't have a copy of the textbook yet, there will be a copy on reserve in the library by Friday the 5th.)
- Check out the MathematicaStatsPrimer and DiceStatistics notes I wrote up; there are links at the bottom of this page. (As with most of what I put online for this course, they're in the http://cs.marlboro.edu/term/fall03/statistics/ directory.
- Construct a table like that on page 23 from 5 to 10 students at Marlboro. (We'll decide in class what data to gather.) Put the data into an Excel spreadsheet. Save as a CSV file, copy/paste that into an email, and send it to me.
- Do exercises 2-17, 2-29, 2-39, 2-57, 2-63
- Estimate the mean and standard deviation of the sum of
three dice by taking a sample of 10 randomly chosen members.
You're welcome to do the calculations by hand or with computer/calculator
assist, just be clear when you write it up how you did it.
More specifically,
- Get three dice. (I'll bring some in if you can't find any.)
- Roll them, add the number together, and write that down.
- Do that ten times.
- Find the mean and standard deviation (which formula are you using?) of those numbers.
- Compare what you get with the true values from the population, which are mean=mu=10.5, sigma=2.958.
- for
**Tues Sep 24**- Read chap 3, chap 4, and appendix C
- Do 3-9, 3-13, 4-5, 4-11, 4-25, 4-27
- Lottery : look up one of the state lotteries of your choice. For *one* of the prizes, calculate out what the odds of winning are. What is the expected value? (i.e. on average how much can you expect to win from that prize alone?)
- For the survey that we did, with the data I'll post by Thurs,
using any tool of your choice (by hand, Excel, Mathematica, ...)
- Find the mean, median, range, and standard deviation of the heights of the smokers.
- Find the mean, median, range, and standard deviation of the heights non-smokers.
- Find the z-score and percentile rank for your height, which ever group you fit in.
- Again with the survey data, again by any method of your choice,
- make 3 histograms of the male heights, with intervals of 1 inch, 2 inches, and 3 inches. Start all graphs at the same height.
- Do the same for the female heights.
- Compare and discuss your results. Which format do you like best?
- From the survey data, what is the probability that a student picked at random is at least 6 feet tall?
thursday/friday September 25/26 on material in chapters 1-4.*--- Test 1 ---* - for
**Tues Sep 30**- Read chapter 5 on the Binomial and chapter 6 on the Normal distribution
- Finish histogram from last time
- Write out the terms of C(N,m) for N=10, m=0,1,2,...,9,10.
(This is the 10th line of Pascal's triangle). Divide by 2
^{10}to make these into probabilities for a binomial with p=1/2, N=10. Plot graphs of this probability distribution using *both* Excel and Mathematica. Cut and paste the picture into a Word (or other) document. - Problems 5-15, 5-20, 5-26
- for
**Tues Oct 7**- Finish reading 5, 6. Start reading chapter 7.
- Do 5-31, 5-32, 6-7, 6-17, 6-19, 6-21
- Use Excel to plot a normal distribution. The function is called NORMDIST(x,mean,sigma,FALSE); you'll have to choose some x values that make it look fairly smooth. (Or use any other tool you like. In Mathematica the function is PDF[NormalDistribution[0,1],x] after you load the <<Statistics` package.)
- Even if a variable is not normally distributed, its average over many trials will be. Show an example of this by doing class experiment 2 on pg 171. In Excel, the uniform random function is RAND(). What is its probability distribution? Can you make a plot of it?
- for
**Tues Oct 14**- Finish reading through chapter 7.
- Do 6-29, 7-5, 7-11, 7-23, class survey question 1 on pg 191, and 17 on pg 193.
Oct 16 on material in chapters 5-7.*--- Test 2 ---* **Tues Oct 21**- Hendrick's days- for
**Tues Oct 28**- Finish reading chapter 8, start chapter 9
- Do exercises 8-13, 8-35, 8-57, 8-63
- for
**Tues Nov 4**- Finish reading through chapter 10
- Do exercises 9-11, 9-19, 10-9, 10-25
- In our class survey, is the percentage of women with brown hair the same as the percentage of men with brown hair?
- Invent another hypothesis to test from our class survey data. Do so.
- for
**Tues Nov 11****Proposal for you statistics project**to be turned in Wed before Thanksgiving. Be as detailed as you can - what question(s) are you trying to answer with what data collected how? I'd like to do some class presentations - extra brownie points, eh?- Read chapter 11 - Student's t-test.
- Do exercises 11-9, 11-24, 11-35 from the text.
- for
**Tues Nov 18**- Read chapter 15 (ANOVA - Analysis of Variance). Skipping 15.1; we haven't done much with Chi-Sqaured stuff yet.
- Do exercises 15-11, 15-17, 15-19, 15-21
- Continue working on your projects.
- for
**Tues Nov 25**- Read chapter 14 on Correlation.
- Read the Regression notes online here.
- Do exercise 14-32 or 14-33. (14-33 is in statistics/regression/)
- Are women's heights from our survey correlated with their mother's?
- Finish your projects -
**please have something ready to present in class on Tuesday!**(You can hand in the final copy Wednesday if you like.)
- for
**Dec 9**- Read chapter 12, on confidence intervals.
- No written assignment due; review and catch up on assignments.
- Practice final is at statistics/practice-final.txt.
**** FINAL EXAM ****due**Mon Dec 15**- online copy - but table formatting is messed up.
- open book - use any sources or software you like.
**don't**use other people; ask me if you have questions.- Will be handed out Tues the 9th on the last day of class.
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Lecture Notes
- Tues Sep 9 - population, sample, mean, standard deviation
- Thurs Sep 11 - more on standard deviation, z-score, and some looking at Mathematica, spreadsheets, calculators, and all that
- Tues Sep 16 - survey, histograms, probability
- Thurs Sep 18 - expected value, examples
- Tues Sep 23 - go over homework , especially survey histograms
- Thurs Sep 25 - binomial / chap 5 examples
- Tues Sep 30 - chap 5 homework; start 6.
- Thurs Oct 2 - continue normal dist with examples see normal/ for Mathematica,Excel,TI-83 notes.
- Tues Oct 7 - mean, variance of sum of random variables; start chap 7
- Thurs Oct 9 - finish chap 7 (normal approx. to binomial) - see Tues notes
- Tues Oct 14 - started chap 8; Hypothesis Tests
- Thurs Oct 16 - more chap 8
- Thurs Oct 23 - even more chap 8 examples; started chap 9
- Tues Oct 28 - chap 8,9 : differences of percentages and means; formula summary
- Thurs Oct 30 - hypothesis examples : two from our class survey, and an obesity study
- Tues Nov 3 - go over homework; start to discuss Student's t-test
- Thurs Nov 5 - finish Student's t-test
- Tues Nov 11 - go over homework; begin overview of lots more tests: Chi-Square, F-Test, Chi-Square test of Indepedence, and ANOVA (Analysis of Variation)
- Thurs Nov 11/a> - and ANOVA with Excel - see statistics/anova-reputation/
- Tues Nov 18 - start Correlation/Regression (chap 14)
- Thurs Nov 20 - more Correlation/Regression - see statistics/regression/
- Tues Dec 2 - more class projects; confidence intervals; practice final
- Thurs Dec 4 - even more class projects - statistics/dec4.txt
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Resources
**online statistics tools**from csbsju.edu - nice set of explanations and web applications.- Google: Science->Math->Statistics
- The Chance Project at Dartmouth
- Rice Virtual Lab in Statistics - online textbook, case studies, java applets; very nice
- sagebrush example of hypothesis testing
- SticiGui online text
- Case Studies in Medicine
- OpenOffice - free, open source spreadsheet
*Mathematica*- Various explanations and examples may be found in the statistics/ directory.
- Engineering Statistics Handbook at NIST - nice reference.
- mathworld.wolfram.com - online math encylopedia.
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Syllabus
chap 1-4 mean, std dev, probability ideas Sep 9 and spreadsheets, graphing, 16 Mathematica, arithmetic review 23 -- test one -- Sep 26 chap 5-7 binomial, Gaussian Sep 30 with a bit of sigma/sqrt(n) Oct 7 and combining distributions -- test two -- (midterm grades due) Oct 10 -- project proposal -- 16 chap 8-10 hypothesis testing Oct 14 (hendricks) 22 28 chap 11,13,15,16 various tests / examples Nov 4 t-test, Chi-Square, Anova 11 with case studies 18 -- project data and first draft -- Nov 16 -- project final draft-- 24 chap 12, 14 data confidence intervals, correlation fitting Dec 24 (thanksgiving) 2 (last class) 9 -- final exam out on Tues Dec 9th, due Mon 15th-- | ||||||||||||||||||

Jim Mahoney (mahoney@marlboro.edu)Last modified <% scalar localtime($m->current_comp->load_time) %> |