Polynomials of 2nd Degree 33 2.3.3 Polynomials of k-th Degree 38 2.1* Discussion of Practical Difficulties 39 2.1*. 1 Examination of the Assumptions and the Sample 39 2.1*.2 More Than One Root in I 1*2 2.1**3 Real Solutions, But None in I 1*2 2.1*. I * No Real Solutions in I 1*2 2.1*.5 The Method of Intersecting Confidence Regions 1*9 2.5 A Jump at the Intersection 50 2.6 N^ and Nj Not Known 52 2.6.1 No Regression Assumptions 53 2.6.2 With Regression Assumptions: Comments 70 III Simple Linear Regression: Continuous Model 76 3.1 Definition of the Problem 76 3.2 Fundamental Random Process 77 3.3 Other Investigations 82 Bibliography 85 Autobiography 87 H i ESTIMATES FCR THE POINTS OF INTERSECTION OF TWO p o l y n o m i a l r e g r e s s i o n s CHAPTER I

In order to identify genes that are associated with outer hair cell(OHC)-specific function, a plasmid library enriched with OHC-specific gene products was constructed using single cell-type-specific complementary DNA (cDNA) and a PCR subtractive hybridization strategy. As a first step, we created separate OHC and inner hair cell (IHC) cDNA pools from individually collected cells using a nonspecific reverse transcription polymerase chain reaction. Next, the OHC cDNA was subtracted against IHC cDNA using a PCR-based subtractive technique. IHCs and OHCs share many common features, making IHC cDNA an ideal ‘driver’ to ‘subtract away’ common hair cell gene products and enrich differentially expressed cDNAs, including OHC-specific genes. The subtracted OHC cDNAs were then cloned to generate an OHC – IHC subtracted cDNA plasmid library. Finally, a differential screening procedure was performed, resulting in 477 differentially positive clones. After analysis of these 477 clones, 50 known genes were identified, including two previously known OHC-specific proteins: oncomodulin and the recently described motor protein prestin. An additional 84 novel clones were also found. As this library of cDNA fragments represents differentially expressed genes in OHCs, it can be used as starting material for isolation and characterization of a complete set of OHC gene products, an important step in investigating normal and abnormal cochlear function.

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Firms that perform work on contract to others often estimate their sales by assigning a probability of award to each potential contract, finding the expected value of each contract and then summing these expected values. Our methodology provides a complete probability distribution around the company sales forecast mean with no further data input than that required to obtain the expected value. The full distribution more realistically portrays business prospects, and allows planners and decision makers to engage in more sophisticated probabilistic forecasting and alternatives analysis. The methodology has been programmed for the computer, and modified to allow for rapid and inexpensive calculation of both sales award and operating sales distributions for a large number of contracts.