{"id":291,"date":"2015-08-27T14:59:40","date_gmt":"2015-08-27T18:59:40","guid":{"rendered":"https:\/\/people.clas.ufl.edu\/josemi\/?page_id=291"},"modified":"2026-03-19T08:06:04","modified_gmt":"2026-03-19T12:06:04","slug":"statprinbiofall2015","status":"publish","type":"page","link":"https:\/\/people.clas.ufl.edu\/josemi\/statprinbiofall2015\/","title":{"rendered":"Statistical Principles for the Biological Sciences, Fall 2015"},"content":{"rendered":"\r\n
\r\n\t
\r\n\t\t
\r\n\t\t\t
\r\n\t\t\t\t\n

Statistical Principles for the Biological Sciences, Fall 2015<\/h1>\n\n\n\n

Thursday October 8<\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Tuesday, August 24<\/strong>

Introduction, read p. 56-65 Appendix<\/p>

and section 1.4.4 p. 72-73<\/p><\/td>\n

Thursday, August 27,<\/strong>

-Conditional Probability: why is it useful?<\/p>

-Introduction to discrete random variables,<\/p>

–Read pages 66-75 of the notes for next class<\/a><\/p><\/td>\n

Tuesday, September 1st<\/strong>

-Elementary properties of<\/p>

discrete random variables, Expected values and variances<\/p>

-examples<\/p>\n

Thursday, September 3rd<\/strong>

-More on expected values<\/p>

-Conditional probability distributions<\/p>

-Conditional expectation<\/p>

-Mark-recapture, sampling with replacement<\/p>

-R program for the hierarchical binomial survival model.<\/p><\/td>\n<\/tr>\n

Tuesday, September 8<\/strong>

-Mark-recapture, sampling with replacement<\/p>

-The binomial distribution<\/p>

-The likelihood function<\/p><\/td>\n

Thursday, September 10<\/strong>

-Mark-recapture, sampling without replacement<\/p>

-The hypergeometric distribution<\/p>

– Comparison with sampling with replacement using means, variances and covariances<\/p>

-Why adopting different probability models for the same experimental setting is important?<\/p>

-Relationship between the binomial model and the hypergeometric model using conditional probability!!<\/p><\/td>\n

Tuesday, September 15<\/strong>

-Introduction to the Poisson Process as a limit to the Binomial model<\/p><\/td>\n

Thursday, September 17<\/strong>

–\u00a0-Introduction to the Poisson Process as a limit to the Binomial model<\/p><\/td>\n<\/tr>\n

\u00a0Tuesday September 22<\/strong>

Waiting times: introducing the exponential distribution using a Poisson process.<\/p>

How do you write the likelihood function for a continuous probability model? \u00a0The MLE of the exponential rate parameter<\/p><\/td>\n

\u00a0Thursday September 24<\/strong>

Waiting times until the kith event: \u00a0introducing the Gamma distribution using a Poisson process<\/p>

-The Gamma function<\/p>

– Connections between the Gamma model\u00a0and the Poisson process<\/p><\/td>\n

Tuesday September 29<\/strong>

-Heterogeneity in Ecology, pages 28-32 of the class notes:<\/p>

-the negative binomial distribution<\/p>

-the zero inflated poisson distribution<\/p><\/td>\n

\u00a0Thursday October 1st<\/strong>

Note pages 32-41:<\/p>

Probability Generating Functions and<\/p>

-the geometric distribution<\/p>

-the negative binomial distribution<\/p>

-the log-series distribution<\/p>

-Return HW to students!!!<\/p><\/td>\n<\/tr>\n

Tuesday October 6<\/strong>

Note pages 32-41:<\/p>

Probability Generating Functions and<\/p>

-the geometric distribution<\/p>

-the negative binomial distribution<\/p>

-the log-series distribution<\/p><\/td>\n

Thursday October 8<\/strong>

-The Multinomial distribution, part I<\/p><\/td>\n

\u00a0Tuesday October 13<\/strong>

-The Multinomial distribution, part II<\/p>

-Likelihood Ratio test<\/p>

-Multinomial Goodness of fit test<\/p><\/td>\n

Thursday October 15<\/strong>

-Fitting the Poisson process data to counts, comparing to Negative Binomial, Zero Inflated Poisson, and other models.<\/p><\/td>\n<\/tr>\n

<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n\n\n\n\r\n\t\t\t<\/div>\r\n\t\t<\/div>\r\n\t<\/div>\r\n<\/section>\r\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":97,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"featured_post":"","footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-291","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/people.clas.ufl.edu\/josemi\/wp-json\/wp\/v2\/pages\/291","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.clas.ufl.edu\/josemi\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.clas.ufl.edu\/josemi\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/josemi\/wp-json\/wp\/v2\/users\/97"}],"replies":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/josemi\/wp-json\/wp\/v2\/comments?post=291"}],"version-history":[{"count":10,"href":"https:\/\/people.clas.ufl.edu\/josemi\/wp-json\/wp\/v2\/pages\/291\/revisions"}],"predecessor-version":[{"id":497,"href":"https:\/\/people.clas.ufl.edu\/josemi\/wp-json\/wp\/v2\/pages\/291\/revisions\/497"}],"wp:attachment":[{"href":"https:\/\/people.clas.ufl.edu\/josemi\/wp-json\/wp\/v2\/media?parent=291"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}