"Statistical designs for producing trustworthy data are perhaps the single most influential contribution of statistics to the advance of knowledge. In this century [the 20th], random sampling and randomized comparative experiments have revolutionized the practice of many fields of applied science." --Moore & McCabe, IPS 2/e, p. 221
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| Section | Topic/notes | Problems | Due Date |
|---|---|---|---|
| 3.1 | First steps | 3.2, 3.4, 3.6, 3.8 | R 3/11 |
| 3.2 | Design of experiments | 3.10, 3.12*, 3.14**, 3.16
*List numbers of first 5 subjects. **List numbers of Group 1 subjects. | R 3/11 |
| 3.3 | Sampling design | 3.36, 3.38, 3.46, 3.48, 3.54 | M 3/15 |
| 3.4 | Toward statistical inference | 3.58, 3.60, 3.62, 3.68 | M 3/15 |
| Section | Topic/notes | Problems | Due Date |
|---|---|---|---|
| 4.1 | Randomness | 4.1
Record the actual sequence of heads (H) and tails (T) you get. | R 3/18 |
| 4.2 | Probability models | 4.10, 4.20, 4.28, 4.34, 4.36 | R 3/18 |
| 4.3 | Random variables | 4.40, 4.42, 4.44, 4.46, 4.48, 4.54
Ex. Cr.: For d = 1,2,...,9, let P(X=d)=log10(1+1/d) exactly. Prove that this is a legitimate probability distribution (to infinite precision). | M 3/22 |
| 4.3-4.4 | pdf problems (postscript) (pdf) (html) | M 3/22 | |
| 4.4 | Means and variances | 4.58, 4.60 | M 3/22 |
| 4.4 | Properties of means and variances | 4.68, 4.70, 4.74, 4.79, 4.80, 4.81, 4.82 Extra credit: 4.124 | R 3/25 |
| Class notes | r.v. calculus | Calculus problems (postscript) (pdf) | R 3/25 |
| 4.3-4.4 | Make-up problems | Not a regular assignment: (ps) (pdf) ( html) | |
| 4.4 | Law of Large Numbers | 4.62, 4.66 | M 3/29 |
| 4.5 | General probability rules | 4.89, 4.90, 4.91, 4.92, 4.93, 4.105, 4.126 | M 3/29 |