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- Title: 461week2
- Type: Notes
- School: Michigan State University
- Course: STT 461
- Term: Fall
Coursehero >> Michigan >> Michigan State University >> STT 461
Path: Michigan State University >> TE >> 302 Fall, 2008
Path: Michigan State University >> TE >> 302 Fall, 2008
Path: Michigan State University >> TE >> 302 Fall, 2008
Path: Michigan State University >> TE >> 502 Spring, 2008
Path: Michigan State University >> TE >> 502 Spring, 2008
Path: Michigan State University >> TE >> 502 Spring, 2008
Path: Michigan State University >> TE >> 502 Spring, 2008
Path: Michigan State University >> TE >> 502 Spring, 2008
Path: Michigan State University >> TE >> 502 Spring, 2008
Path: Michigan State University >> TE >> 801 Fall, 2008
Path: Michigan State University >> TE >> 883 Fall, 2008
Path: Michigan State University >> TE >> 971 Fall, 2008
Path: Michigan State University >> UGS >> 101 Fall, 2008
Path: Michigan State University >> UGS >> 102 Fall, 2008
Path: Michigan State University >> UGS >> 103 Fall, 2008
Path: Michigan State University >> UGS >> 101 Fall, 2008
Path: Michigan State University >> UGS >> 102 Fall, 2008
Path: Michigan State University >> UGS >> 103 Fall, 2008
Path: Michigan State University >> WRA >> 420 Fall, 2008
Path: Mich Tech >> AF >> 0120 Fall, 2008
Path: Mich Tech >> AF >> 0230 Fall, 2008
Path: Mich Tech >> AF >> 1002 Fall, 2008
Path: Mich Tech >> AF >> 3002 Spring, 2008
Path: Mich Tech >> AF >> 3090 Fall, 2008
Path: Mich Tech >> AF >> 0120 Fall, 2008
Path: Mich Tech >> AF >> 0230 Fall, 2008
Path: Mich Tech >> AF >> 1002 Fall, 2008
Path: Mich Tech >> AF >> 3002 Spring, 2008
Path: Mich Tech >> AF >> 3090 Fall, 2008
Path: Mich Tech >> AR >> 1003 Spring, 2008
Path: Mich Tech >> AR >> 1012 Spring, 2008
Path: Mich Tech >> AR >> 2012 Spring, 2008
Path: Mich Tech >> AR >> 2069 Spring, 2008
Path: Mich Tech >> AR >> 3002 Spring, 2008
Path: Mich Tech >> AR >> 3012 Spring, 2008
Path: Mich Tech >> AR >> 4012 Spring, 2008
Path: Mich Tech >> AR >> 4004 Spring, 2008
Path: Mich Tech >> AR >> 4004 Spring, 2008
Path: Mich Tech >> AR >> 4004 Spring, 2008
Path: Mich Tech >> FA >> 1150 Fall, 2008
Path: Mich Tech >> FA >> 2080 Summer, 2008
Path: Mich Tech >> FA >> 2305 Fall, 2008
Path: Mich Tech >> FA >> 2500 Summer, 2008
Path: Mich Tech >> FA >> 3305 Spring, 2008
Path: Mich Tech >> FA >> 3550 Summer, 2008
Path: Mich Tech >> FA >> 3560 Spring, 2008
Path: Mich Tech >> FA >> 3830 Summer, 2008
Path: Mich Tech >> FA >> 4950 Fall, 2008
Path: Mich Tech >> FA >> 1150 Fall, 2008
Path: Mich Tech >> FA >> 2080 Summer, 2008
Path: Mich Tech >> FA >> 2305 Fall, 2008
Path: Mich Tech >> FA >> 2500 Summer, 2008
Path: Mich Tech >> FA >> 3305 Spring, 2008
Path: Mich Tech >> FA >> 3550 Summer, 2008
Path: Mich Tech >> FA >> 3560 Spring, 2008
Path: Mich Tech >> FA >> 3830 Summer, 2008
Path: Mich Tech >> FA >> 4950 Fall, 2008
Path: Mich Tech >> FA >> 2402 Spring, 2008
Path: Mich Tech >> FA >> 3340 Spring, 2008
Path: Mich Tech >> FA >> 3401 Fall, 2008
Path: Mich Tech >> FA >> 3732 Spring, 2008
Path: Mich Tech >> FA >> 4420 Fall, 2008
Path: Mich Tech >> FA >> 4800 Fall, 2008
Path: Mich Tech >> FA >> 4910 Fall, 2008
Path: Mich Tech >> FA >> 4971 Fall, 2008
Path: Mich Tech >> FA >> 4972 Fall, 2008
Path: Mich Tech >> FA >> 4975 Spring, 2008
Path: Mich Tech >> FA >> 2402 Spring, 2008
Path: Mich Tech >> FA >> 3340 Spring, 2008
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1 461week2.nb In[22]:= In[23]:= In[24]:= mean@x_D := Mean@xD; median@x_D := Median@xD t10mean@x_D := mean@Sort@xD@@ Table@i, 8i, Floor@0.05 Length@xDD, Floor@0.95 Length@xDD<D DD D s@x_D := Sqrt@Apply@Plus, Hx - mean@xDL ^ 2D HLength@xD - 1LD sam@x_, n_D := x@@Table@Random@Integer, 81, Length@xD<D, 8i, 1, n<DD D bs@function_, data_D := Module@8n = Length@dataD<, Table@function@sam@data, nDD, 8i, 1, 2000<DD; In[25]:= sam[x, n] selects a sample of n from a list x with replacement and with equal probability. In[26]:= bs[function, data] creates 2000 values of function[same size random sample from data] In[27]:= bsCI[function, data, conf] creates a bootstrap confidence interval for function[population] for confidence level "conf" based upon 2000 same size bootstrap samples. It reports {function name, the estimate function[data], bs confidence interval, confidence level} In[28]:= phi[r, sig] is the normal density with mean zero and s.d. "sig" evaluated at r. In[29]:= bsci@function_, data_, conf_D := 8function, function@dataD, function@dataD + 8-1, 1< Sort@ Abs@bs@function, dataD - function@dataD DD@@Floor@conf 2000DD D , conf< phi@r_, sig_D := H1 Sqrt@2 Pi sig ^ 2DL Exp@-r ^ 2 H2 sig ^ 2LD density@list_, sig_, r_D := mean@phi@r - list, sigDD density[list, sig, r] is the kernel density for data "list" and kernel s.d. "sig" evaluated at r. In[30]:= plotdensity[list, sig] plots a density for "data" and kernel s.d. "sig" over the data range. In[31]:= The few functions defined above are capable of a lot of statistical work. Some examples: In[32]:= plotdensity@list_, := sig_D Module@8v = Sort@listD@@81, Length@listD<DD<, Plot@density@list, sig, rD, 8r, v@@1DD, v@@2DD<, PlotRange All, AxesOrigin 8v@@1DD, 0<, PlotPoints 2000DD sample1 = Table@N@Sin@ Random@D ^ 3DD, 8i, 1, 100<D; The kernel density of the population estimated via the kernel density of sample1. 461week2.nb 2 In[33]:= plotdensity@sample1, 0.03D 4 3 2 1 0 0.2 0.4 0.6 0.8 Out[33]= Graphics Above, compared to the sampling distribution of mean[sample] estimated by bootstrap. In[34]:= 14 12 10 8 6 4 2 0.175 14 12 10 8 6 4 2 0 0.2 0.4 0.6 0.8 0.2 0.225 0.25 0.275 0.3 0.325 Show@%, plotdensity@bs@mean, sample1D, 0.01DD Out[34]= Graphics Above compared with the actual sampling distribution of mean for samples of 100 (as estimated by drawing 1000 samples of 100 as sample1 was created). In[35]:= Show@%, plotdensity@ Table@mean@Table@N@Sin@ Random@D ^ 3DD, 8i, 1, 100<DD, 8i, 1, 1000<D , 0.01D D 461week2.nb 3 14 12 10 8 6 4 2 0.18 15 12.5 10 7.5 5 2.5 0 0.2 0.4 0.6 0.8 0.2 0.22 0.24 0.26 0.28 0.3 Out[35]= In[36]:= Out[36]= In[37]:= Out[37]= In[38]:= Out[38]= In[39]:= Out[39]= In[40]:= Out[40]= In[41]:= Out[41]= In[42]:= Out[42]= Graphics mean@sample1D 0.245872 s@sample1D 0.243573 %% + 1.96 8-1, 1< % Sqrt@100D 80.198131, 0.293612< 0.233845 NIntegrate@Sin@r ^ 3D, 8r, 0, 1<D bsci@mean, sample1, 0.95D 8mean, 0.245872, 80.198723, 0.293021<, 0.95< bsci@median, sample1, 0.95D bsci@t10mean, sample1, 0.95D 8median, 0.212154, 80.0809763, 0.343332<, 0.95< 8t10mean, 0.227336, 80.175867, 0.278805<, 0.95<
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grad_coursedesc_200708.pdfPath: Mich Tech >> AR >> 2012 Spring, 2008
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grad_coursedesc_200708.pdfPath: Mich Tech >> AR >> 2069 Spring, 2008
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grad_coursedesc_200708.pdfPath: Mich Tech >> AR >> 3002 Spring, 2008
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grad_coursedesc_200708.pdfPath: Mich Tech >> AR >> 3012 Spring, 2008
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grad_coursedesc_200708.pdfPath: Mich Tech >> AR >> 4012 Spring, 2008
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final_exam_200801.pdfPath: Mich Tech >> AR >> 4004 Spring, 2008
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registration_priority_schedule_200901.pdfPath: Mich Tech >> AR >> 4004 Spring, 2008
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grad_coursedesc_200708.pdfPath: Mich Tech >> AR >> 4004 Spring, 2008
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final_exam_200801.pdfPath: Mich Tech >> FA >> 2080 Summer, 2008
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final_exam_200801.pdfPath: Mich Tech >> FA >> 2305 Fall, 2008
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final_exam_200801.pdfPath: Mich Tech >> FA >> 2500 Summer, 2008
Description: Spring 2008 Final Exam Schedule April 28 - May 2 Classes with first meeting day of the week on: Monday Beginning at or between these times 8:00 8:59 am Your exam day and time is Monday 8:00 10:00 am Wednesday 8:00 10:00 am Monday 10:15-12:15 pm W...
final_exam_200801.pdfPath: Mich Tech >> FA >> 3305 Spring, 2008
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final_exam_200801.pdfPath: Mich Tech >> FA >> 3550 Summer, 2008
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final_exam_200801.pdfPath: Mich Tech >> FA >> 3560 Spring, 2008
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final_exam_200801.pdfPath: Mich Tech >> FA >> 3830 Summer, 2008
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final_exam_200801.pdfPath: Mich Tech >> FA >> 4950 Fall, 2008
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springfinalsandeveningexams200901.pdfPath: Mich Tech >> FA >> 1150 Fall, 2008
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springfinalsandeveningexams200901.pdfPath: Mich Tech >> FA >> 2080 Summer, 2008
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springfinalsandeveningexams200901.pdfPath: Mich Tech >> FA >> 2305 Fall, 2008
Description: Spring 2009 Final Exam Schedule April 27 - May 1 Classes with first meeting day of the week on: Monday Beginning at or between these times 8:00 8:59 am Your exam day and time is Monday 8:00 10:00 am Wednesday 8:00 10:00 am Monday 10:15-12:15 pm W...
springfinalsandeveningexams200901.pdfPath: Mich Tech >> FA >> 2500 Summer, 2008
Description: Spring 2009 Final Exam Schedule April 27 - May 1 Classes with first meeting day of the week on: Monday Beginning at or between these times 8:00 8:59 am Your exam day and time is Monday 8:00 10:00 am Wednesday 8:00 10:00 am Monday 10:15-12:15 pm W...
springfinalsandeveningexams200901.pdfPath: Mich Tech >> FA >> 3305 Spring, 2008
Description: Spring 2009 Final Exam Schedule April 27 - May 1 Classes with first meeting day of the week on: Monday Beginning at or between these times 8:00 8:59 am Your exam day and time is Monday 8:00 10:00 am Wednesday 8:00 10:00 am Monday 10:15-12:15 pm W...
springfinalsandeveningexams200901.pdfPath: Mich Tech >> FA >> 3550 Summer, 2008
Description: Spring 2009 Final Exam Schedule April 27 - May 1 Classes with first meeting day of the week on: Monday Beginning at or between these times 8:00 8:59 am Your exam day and time is Monday 8:00 10:00 am Wednesday 8:00 10:00 am Monday 10:15-12:15 pm W...
springfinalsandeveningexams200901.pdfPath: Mich Tech >> FA >> 3560 Spring, 2008
Description: Spring 2009 Final Exam Schedule April 27 - May 1 Classes with first meeting day of the week on: Monday Beginning at or between these times 8:00 8:59 am Your exam day and time is Monday 8:00 10:00 am Wednesday 8:00 10:00 am Monday 10:15-12:15 pm W...
springfinalsandeveningexams200901.pdfPath: Mich Tech >> FA >> 3830 Summer, 2008
Description: Spring 2009 Final Exam Schedule April 27 - May 1 Classes with first meeting day of the week on: Monday Beginning at or between these times 8:00 8:59 am Your exam day and time is Monday 8:00 10:00 am Wednesday 8:00 10:00 am Monday 10:15-12:15 pm W...
springfinalsandeveningexams200901.pdfPath: Mich Tech >> FA >> 4950 Fall, 2008
Description: Spring 2009 Final Exam Schedule April 27 - May 1 Classes with first meeting day of the week on: Monday Beginning at or between these times 8:00 8:59 am Your exam day and time is Monday 8:00 10:00 am Wednesday 8:00 10:00 am Monday 10:15-12:15 pm W...
gesc_courses200708.pdfPath: Mich Tech >> FA >> 2402 Spring, 2008
Description: Science, Technology, Engineering and Mathematics (STEM) Courses 2008-2009 Academic Year Students must take a minimum of 16 credits of Science, Technology, Engineering, and Mathematics (STEM) with the following limitations:* Students must complete on...
gesc_courses200708.pdfPath: Mich Tech >> FA >> 3340 Spring, 2008
Description: Science, Technology, Engineering and Mathematics (STEM) Courses 2008-2009 Academic Year Students must take a minimum of 16 credits of Science, Technology, Engineering, and Mathematics (STEM) with the following limitations:* Students must complete on...
gesc_courses200708.pdfPath: Mich Tech >> FA >> 3401 Fall, 2008
Description: Science, Technology, Engineering and Mathematics (STEM) Courses 2008-2009 Academic Year Students must take a minimum of 16 credits of Science, Technology, Engineering, and Mathematics (STEM) with the following limitations:* Students must complete on...
gesc_courses200708.pdfPath: Mich Tech >> FA >> 3732 Spring, 2008
Description: Science, Technology, Engineering and Mathematics (STEM) Courses 2008-2009 Academic Year Students must take a minimum of 16 credits of Science, Technology, Engineering, and Mathematics (STEM) with the following limitations:* Students must complete on...
gesc_courses200708.pdfPath: Mich Tech >> FA >> 4420 Fall, 2008
Description: Science, Technology, Engineering and Mathematics (STEM) Courses 2008-2009 Academic Year Students must take a minimum of 16 credits of Science, Technology, Engineering, and Mathematics (STEM) with the following limitations:* Students must complete on...
gesc_courses200708.pdfPath: Mich Tech >> FA >> 4800 Fall, 2008
Description: Science, Technology, Engineering and Mathematics (STEM) Courses 2008-2009 Academic Year Students must take a minimum of 16 credits of Science, Technology, Engineering, and Mathematics (STEM) with the following limitations:* Students must complete on...
gesc_courses200708.pdfPath: Mich Tech >> FA >> 4910 Fall, 2008
Description: Science, Technology, Engineering and Mathematics (STEM) Courses 2008-2009 Academic Year Students must take a minimum of 16 credits of Science, Technology, Engineering, and Mathematics (STEM) with the following limitations:* Students must complete on...
gesc_courses200708.pdfPath: Mich Tech >> FA >> 4971 Fall, 2008
Description: Science, Technology, Engineering and Mathematics (STEM) Courses 2008-2009 Academic Year Students must take a minimum of 16 credits of Science, Technology, Engineering, and Mathematics (STEM) with the following limitations:* Students must complete on...
gesc_courses200708.pdfPath: Mich Tech >> FA >> 4972 Fall, 2008
Description: Science, Technology, Engineering and Mathematics (STEM) Courses 2008-2009 Academic Year Students must take a minimum of 16 credits of Science, Technology, Engineering, and Mathematics (STEM) with the following limitations:* Students must complete on...
gesc_courses200708.pdfPath: Mich Tech >> FA >> 4975 Spring, 2008
Description: Science, Technology, Engineering and Mathematics (STEM) Courses 2008-2009 Academic Year Students must take a minimum of 16 credits of Science, Technology, Engineering, and Mathematics (STEM) with the following limitations:* Students must complete on...
computerfees.pdfPath: Mich Tech >> FA >> 2402 Spring, 2008
Description: Computing Access Fees 2008-2009 Academic Year The Basic Computing Access Fee is based on primary major plus an additional $8 security surcharge. Undergraduate Department Biological Sciences Biomedical Engineering School of Business and Economics Che...
computerfees.pdfPath: Mich Tech >> FA >> 3340 Spring, 2008
Description: Computing Access Fees 2008-2009 Academic Year The Basic Computing Access Fee is based on primary major plus an additional $8 security surcharge. Undergraduate Department Biological Sciences Biomedical Engineering School of Business and Economics Che...