Applied Statistics Using SPSS, STATISTICA, MATLAB and R

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186 5 Non-Parametric Tests of Hypotheses p: Observed significance. ksstat, lstat: Values of the Kolmogorov-Smirnov and Liliefors statistics, respectively. cv: Critical value for significant test. Some of these parameters and return values can be omitted. For instance, h = kstest(x)only performs the normality test of x. The arguments of the R function ks.test are as follows: x: A numeric vector of data values. y: Either a numeric vector of expected data values or a character string naming a distribution function. ... Parameters of the distribution specified by y. Commands 5.6. SPSS, STATISTICA, MATLAB and R commands used to obtain cumulative distribution plots and normal probability plots. SPSS STATISTICA Graphs; Interactive; Histogram; Cumulative histogram Analyze; Descriptive Statistics; Explore; Plots; Normality plots with tests | Graphs; P-P Graphs; Histograms; Showing Type; Cumulative Graphs; 2D Graphs; Probability-Probability Plots MATLAB cdfplot(x) ; normplot(x) R plot.ecdf(x) ; qqnorm(x) The cumulative distribution plot shown in Figure 5.2a was obtained with MATLAB using the following sequence of commands: » art = corkstoppers(1:50,3); » cdfplot(art) » hold on » xaxis = 0:1:250; » plot(xaxis,normcdf(xaxis,mean(art),std(art))) Note the hold on command used to superimpose the standard normal distribution over the previous empirical distribution of the data. This facility is disabled with hold off. The normcdf command is used to obtain the normal cumulative distribution in the interval specified by xaxis with the mean and standard deviation also specified.
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Applied Statistics Using SPSS, STAT
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E d itors Prof. Dr. Joaquim P. Marq
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Contents Preface to the Second Edit
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Contents ix 5.2.3 The Chi-Square Te
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Contents xi Appendix A - Short Surv
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Contents xiii E.26 Soil Pollution .
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Preface to the First Edition This b
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Symbols and Abbreviations Sample Se
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|A| determinant of matrix A tr(A) t
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Σ covariance matrix x arithmetic m
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1 Introduction 1.1 Deterministic Da
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18 h 16 14 12 10 8 6 4 2 0 1.1 Dete
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1.2 Population, Sample and Statisti
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Table 1.3 1.2 Population, Sample an
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Table 1.4 1.3 Random Variables 9 Da
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1.4 Probabilities and Distributions
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1.5 Beyond a Reasonable Doubt... 13
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1.5 Beyond a Reasonable Doubt... 15
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1.6 Statistical Significance and Ot
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1.8 Software Tools 19 book we will
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1.8 Software Tools 21 In the follow
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1.8 Software Tools 23 illustrates t
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1.8 Software Tools 25 On-line help
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1.8 Software Tools 27 Figure 1.12.
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2 Presenting and Summarising the Da
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2.1 Preliminaries 31 The data can t
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» meteo=[ 181 143 36 39 37 % Pasti
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2.1 Preliminaries 35 are interested
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2.1 Preliminaries 37 Besides the in
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2.2 Presenting the Data 39 Sorting
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2.2 Presenting the Data 41 In Table
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2.2 Presenting the Data 43 With SPS
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2.2 Presenting the Data 45 Figure 2
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2.2 Presenting the Data 47 Figure 2
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2.2 Presenting the Data 49 Let X de
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2.2 Presenting the Data 51 Commands
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2.2 Presenting the Data 53 A: The c
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2.2 Presenting the Data 55 The s, c
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2.2 Presenting the Data 57 histogra
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2.3 Summarising the Data 59 type da
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2.3 Summarising the Data 61 delimit
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2.3 Summarising the Data 63 The sam
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Note that: 2.3 Summarising the Data
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where sXY, the sample covariance of
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2.3 Summarising the Data 69 STATIST
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2.3 Summarising the Data 71 A: The
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2.3.6 Measures of Association for N
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2.3 Summarising the Data 75 with th
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Exercises 77 A: We use the N, S and
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Exercises 79 2.13 Determine the box
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3 Estimating Data Parameters Making
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3.1 Point Estimation and Interval E
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3.2 Estimating a Mean 85 In Chapter
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3.2 Estimating a Mean 87 There are
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3.2 Estimating a Mean 89 A: Using M
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3.2 Estimating a Mean 91 Figure 3.5
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3.3 Estimating a Proportion 93 esti
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3.4 Estimating a Variance 95 is to
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3.5 Estimating a Variance Ratio 97
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3.6 Bootstrap Estimation 99 i. F df
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3.6 Bootstrap Estimation 101 about
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3.6 Bootstrap Estimation 103 The bi
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3.6 Bootstrap Estimation 105 In the
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Exercises 107 In order to obtain bo
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Exercises 109 3.14 Consider the CTG
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112 4 Parametric Tests of Hypothese
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Page 358: 160 4 Parametric Tests of Hypothese
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Page 382: 5.1 Inference on One Population 173
Page 390: s = npq = 224× 0. 75× 0. 25 = 6.4
Page 394: 5.1.3 The Chi-Square Goodness of Fi
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212 5 Non-Parametric Tests of Hypot
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224 6 Statistical Classification (c
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226 6 Statistical Classification Eq
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228 6 Statistical Classification
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230 6 Statistical Classification li
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232 6 Statistical Classification It
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234 6 Statistical Classification ve
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236 6 Statistical Classification Fi
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238 6 Statistical Classification ω
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240 6 Statistical Classification ω
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242 6 Statistical Classification th
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244 6 Statistical Classification Fi
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246 6 Statistical Classification Bo
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248 6 Statistical Classification We
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250 6 Statistical Classification Th
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252 6 Statistical Classification si
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254 6 Statistical Classification In
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256 6 Statistical Classification St
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258 6 Statistical Classification St
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260 6 Statistical Classification At
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262 6 Statistical Classification pe
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264 6 Statistical Classification i(
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266 6 Statistical Classification ap
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268 6 Statistical Classification Co
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270 6 Statistical Classification 6.
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272 7 Data Regression Correlation d
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274 7 Data Regression These propert
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276 7 Data Regression The total var
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278 7 Data Regression Next, we crea
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280 7 Data Regression b 1 = ∑ ( x
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282 7 Data Regression Example 7.5 Q
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284 7 Data Regression The sampling
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286 7 Data Regression From the defi
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288 7 Data Regression * SSLF SSPE M
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290 7 Data Regression where: - y is
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292 7 Data Regression 1.0000 0.9692
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294 7 Data Regression The first lin
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296 7 Data Regression 7.2.5 ANOVA a
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298 7 Data Regression must ask whic
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300 7 Data Regression model. Simila
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302 7 Data Regression The MATLAB po
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304 7 Data Regression the same way
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306 7 Data Regression 7.3.2 Evaluat
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308 7 Data Regression The MATLAB re
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310 7 Data Regression with s 2 =
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312 7 Data Regression the threshold
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314 7 Data Regression 7.11, the lar
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316 7 Data Regression determination
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318 7 Data Regression smaller discr
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320 7 Data Regression Besides its u
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322 7 Data Regression VIF and Mean
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324 7 Data Regression Taking the na
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326 7 Data Regression Example 7.22
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328 7 Data Regression possible to p
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330 8 Data Structure Analysis In Fi
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332 8 Data Structure Analysis of th
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334 8 Data Structure Analysis 2 −
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336 8 Data Structure Analysis using
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338 8 Data Structure Analysis ∑
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340 8 Data Structure Analysis We se
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342 8 Data Structure Analysis p = 0
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344 8 Data Structure Analysis In or
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346 8 Data Structure Analysis A: On
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348 8 Data Structure Analysis ⎡0.
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350 8 Data Structure Analysis 1 0 -
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352 8 Data Structure Analysis 8.9 C
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354 9 Survival Analysis P( t ≤ T
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356 9 Survival Analysis Example 9.2
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358 9 Survival Analysis the Fatigue
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360 9 Survival Analysis “death”
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362 9 Survival Analysis A: The Hear
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364 9 Survival Analysis From Figure
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366 9 Survival Analysis denominator
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368 9 Survival Analysis The exponen
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370 9 Survival Analysis γ This is
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372 9 Survival Analysis the proport
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374 9 Survival Analysis 9.5 Compute
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376 10 Directional Data Example 10.
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380 10 Directional Data The MATLAB
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382 10 Directional Data A: We use t
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384 10 Directional Data For p = 2,
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386 10 Directional Data Thus, the r
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388 10 Directional Data from a unif
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390 10 Directional Data * 2 z = ( 1
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392 10 Directional Data 10.4.3 The
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396 10 Directional Data 10.5.2 Mean
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398 10 Directional Data Similar res
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400 10 Directional Data Exercises 1
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Appendix A - Short Survey on Probab
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A.1 Basic Notions 405 corresponding
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A.2 Conditional Probability and Ind
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A. 4 Bayes ’ Theorem 409 The firs
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A.5 Random Variables and Distributi
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a 0.5 0.4 0.3 0.2 0.1 0 f (x ) a a+
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Example A. 12 A.6 Expectation, Vari
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n [ X ] = ∑ i= 1 A.6 Expectation,
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A.7 The Binomial and Normal Distrib
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A.7 The Binomial and Normal Distrib
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The following results are worth men
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A.8.2 Moments A.8 Multivariate Dist
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For the d-variate case, this genera
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0.25 0.2 0.15 0.1 0.05 p(x) A.8 Mul
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432 Appendix B - Distributions A: T
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436 Appendix B - Distributions For
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440 Appendix B - Distributions Dist
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442 Appendix B - Distributions 0.45
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444 Appendix B - Distributions B.2.
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448 Appendix B - Distributions B.2.
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450 Appendix B - Distributions Dist
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452 Appendix B - Distributions 1 0.
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456 Appendix C - Point Estimation T
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458 Appendix C - Point Estimation
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460 Appendix D - Tables p n k 0.05
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466 Appendix D - Tables D.3 Student
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468 Appendix D - Tables D.5 Critica
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470 Appendix E - Datasets The varia
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472 Appendix E - Datasets E.6 CTG T
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474 Appendix E - Datasets E.9 FHR T
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476 Appendix E - Datasets E.14 Fore
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478 Appendix E - Datasets DATE_REOP
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480 Appendix E - Datasets CG: Conic
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482 Appendix E - Datasets E.26 Soil
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484 Appendix E - Datasets E.29 VCG
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Appendix F - Tools F.1 MATLAB Funct
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Appendix F - Tools 489 r
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References Chapters 1 and 2 Anderso
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References 493 Gardner MJ, Altman D
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References 495 Raudys S, Pikelis V
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References 497 Mardia KV, Jupp PE (
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500 Index 5.9 (two paired samples t
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502 Index H hazard function, 353 ha
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504 Index S sample, 5 mean, 416 siz
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Applied Statistics Using SPSS, STATISTICA, MATLAB and R

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