{"responseHeader":{"status":0,"QTime":7,"params":{"q":"{!q.op=AND}id:\"102808\"","hl":"true","hl.simple.post":"","hl.fragsize":"5000","fq":"!embargo_tdt:[NOW TO *]","hl.fl":"ocr_t","hl.method":"unified","wt":"json","hl.simple.pre":""}},"response":{"numFound":1,"start":0,"docs":[{"file_name_t":"Soller-Automated_Detection.pdf","thumb_s":"/87/24/87242e08228ae80f1d8d2995803e7514bbdf1af7.jpg","oldid_t":"compsci 10921","setname_s":"ir_computersa","restricted_i":0,"format_t":"application/pdf","modified_tdt":"2016-05-26T00:00:00Z","file_s":"/b5/50/b55060d5934274348d45b43d319407a02df93c93.pdf","title_t":"Page 51","ocr_t":"36 this concept. Subsequent stepwise linear discriminant classification also justified this assumption by producing significantly greater discrimination with two factors. This project also factor analyzed MMSE, but ultimately only used the first factor after discriminant analyses. 8.2 Statistical Classification Performance 8.2.1 Conditional Probability and Bayes' Rule Statistical classification attempts to determine the group associated with an observation. If the statistical parameters are known, Bayes' rule provides the statistically optimal estimate. To represent the continuous form of Bayes' rule, this dissertation defines continÂuous conditional probability as and f(x,y) fx!Y(x!y) = fy(y) P(X E AIY = y) = L fx!Y(x!y)dx. (8.2) (8.3) The conditional probability, P( FIE), is the probability of the occurrence of an event Fj given the occurrence of E [143]. The discrete formulation of Bayes' rule is (8.4) 8.2.2 Performance Measures and Cross-validation Basic statistical classification solutions decide w1 if P( w!) > P( w2 ) and w2 otherwise. Given evidence x, it can be expanded to the following as a result of Bayes' rule. Decide w1 if P(x!wt)P( w1) > P(xlw2 )P( w2 ) and w2 otherwise. Table 8.1. categorizes correct and incorrect classification decisions that discriminate between two groups: positive and negative [179]. Class positive ( C P) is the total number of observations from group positive. Class negative ( C N) is the total","id":102808,"created_tdt":"2016-05-26T00:00:00Z","parent_i":102961,"_version_":1642982670123139073}]},"highlighting":{"102808":{"ocr_t":[]}}}