Homework [* All assignments are tentative until a date is assigned *]
:
- Find an article employing REGRESSION in a recent journal in your
discipline. Describe what type of regression model is used in this paper, and
how this model was used. Include a full citation of
the journal as part of your response. (Due: 12 Jan. 2006)
- OL 11.9; 11.24; 11.25; 11.31; 11.32; 11.33; 11.34 (Due: 17 Jan. 2006)
- OL 11.42; 11.43; 11.45 (Due: 23 Jan. 2006)
- OL 12.4; 12.6 (Due: 30 Jan. 2006)
- OL 12.10; 12.11; 12.18; 12.19; 12.20 (Due: 03 Feb. 2006)
- OL 12.28; 12.63; 12.64; 13.3; 13.4; 13.26; 13.27 (Due: 07 Feb. 2006)
- Find an article employing an ANOVA MODEL in a recent journal in your
discipline. Describe what type of factors (quantitative/qualitative,
observational/experimental) were studied in this paper, and
what hypotheses were tested in light of this model. Include a full citation of
the journal as part of your response. (Due: 17 Feb. 2006)
- OL 8.1; 8.2; 8.6; 8.7; 8.22 (Due: 20 Feb. 2006)
- OL 9.7; 9.8; 9.9; 9.17 (Due: 27 Feb. 2006)
- OL 14.3; 14.4; 14.5 (Due: 06 Mar. 2006)
- OL 15.1a; 15.2; 15.32; 15.46 (Due: 10 Mar. 2006)
- Find a description of a sample survey in a journal in your discipline
or on the web. Feel free to use one of the government surveys that I mentioned
in class (e.g. NHANES, CPS). Comment on the purpose/objective of the study and
briefly describe the sampling plan (e.g. multistage cluster sample selected in
different strata). (Due: 31 Mar. 2006)
- Sampling problems from handout - 4.5, 4.9, 4.20 (Due: 03 Apr. 2006)
- Monte Carlo problems 1-4 from course notes (Due 21 Apr. 2006)
- Growth/Diff. eq problem 1 - 2,
- Data from the yield of plants from a pasture at various growing times (days)
was reported by Ratkowsky (1983).
Yield (Y): 8.93, 10.80, 18.59, 22.33, 39.35, 56.11, 61.73, 64.62, 67.08
Time (X): 9, 14, 21, 28, 42, 57, 63, 70, 79
* Predict the pasture yield as a function of Time using: linear, exponential,
logistic models.
a. Report a prediction equaltion for each of these three models.
b. Comment on how you calibrated your model (i.e. how did you get
estimates of the parameters of these models? starting values?)
c. Which model do you prefer and why? Sketch a scatterdiagram of the
data along with the fits of these three models to support your preference.
- In the Year 1980, a container of radioactive substance P was buried in a mine.
Now, P decays in to another (and far more dangerous) radioactive substance Q,
while Q decays into a stable (and benign) substance R. In the year 1990, a
government agency takes a sample from the container and finds that its
composition is 90% P, 8% Q and 2% R.
a. Predict the % of Q over the next 1000 years.
b. When will there be a maximum amount of Q in the container?
and find an article of interest to you where a model was used. Comment on:
- Provide a complete citation for this paper and include a copy of
the first page of the article including the abstract.
- What was the response and what were the input variables?
- Was the model deterministic or stochastic?
- Was the model validated with some external data source?
- Were "parameters" of this model based upon model fits or
physical/physiological constants?
- What was the purpose of the model? prediction? exploring relationships?
(Due: 03 May 2006)