Numerics BINPPF 8-2, 8-21 2D INTERPOLATION 3-2, 3-125 biplot 4-68, 4-69 2-level full factorial designs 6-12 Birnbaum-Saunders distribution 8-91 bisection algorithm 3-95 A bisquare transformation 2-6 ABS 6-1, 6-3 BIVARIATE INTERPOLATION 3-2, 3-6 absolute value 2-24 bivariate normal cumulative distribution function 8-23 ALPHA 5-3 bivariate normal distribution 8-1 analytic derivatives 3-39 bivariate normal probability density function 8-25 ARCCOS 7-1, 7-2 BIWEIGHT 2-2, 2-6 arccosecant 7-10 biweight transformation 2-6 ARCCOSH 7-1, 7-4 bootstrap 2-2, 2-9, 2-11, 2-25 arccosine 7-2 bootstrap analysis 2-9, 2-11 ARCCOT 7-1, 7-6 BOOTSTRAP INDEX 2-2, 2-9 arccotangent 7-6 BOOTSTRAP SAMPLE 2-2, 2-9, 2-11, 2-53 ARCCOTH 7-1, 7-8 bootstrap sample 2-11 ARCCSC 7-1, 7-10 BVNCDF 8-1, 8-23 ARCCSCH 7-1, 7-12 BVNPDF 8-1, 8-25 ARCSEC 7-1, 7-14 arcsecant 7-14 C ARCSECH 7-1, 7-16 cannonical correlation analysis 4-3 ARCSIN 7-1, 7-18 CANTOR NUMBERS 3-1, 3-8 arcsine 7-18 Cantor sets 3-8 ARCSINH 7-1, 7-20 capability index 2-17, 2-19 ARCTAN 7-1, 7-22 CAUCDF 8-2, 8-27 arctangent 7-22 Cauchy cumulative distribution function 8-27 ARCTANH 7-1, 7-24 Cauchy distribution 8-2 AUTOCORRELATION 2-2, 2-3 Cauchy percent point function 8-31 AUTOCOVARIANCE 2-2, 2-4 Cauchy probability density function 8-29 AVERAGE ABSOLUTE DEVIATION 2-1, 2-5 CAUCHY RANDOM NUMBERS 5-2 Cauchy sparsity function 8-33 B CAUPDF 8-2, 8-29 base 10 logarithm 6-47 CAUPPF 8-2, 8-31 base 2 logarithm 6-45 CAUSF 8-2, 8-33 BESS0 6-2, 6-5 censored 3-124 BESS1 6-2, 6-5 characteristic equation 4-20, 4-24 Bessel function 6-5 characteristic value 4-20, 4-24 BESSEL functions 6-5 CHEB0 6-2, 6-14 BETA 5-3, 6-1, 6-8 CHEB1 6-2, 6-14 beta cumulative distribution function 8-11 CHEB10 6-2, 6-15 beta distribution 8-1 CHEB2 6-2, 6-14 beta function 6-8 CHEB3 6-2, 6-14 beta percent point function 8-15 CHEB4 6-2, 6-14 beta probability density function 8-13 CHEB5 6-2, 6-15 BETA RANDOM NUMBERS 5-3 CHEB6 6-2, 6-15 BETAI 6-1, 6-10 CHEB7 6-2, 6-15 BETCDF 8-1, 8-11 CHEB8 6-2, 6-15 BETPDF 8-1, 8-13 CHEB9 6-2, 6-15 BETPPF 8-1, 8-15 Chebychev polynomial 6-14 BILINEAR INTERPOLATION 3-2, 3-4 Chebychev’s thereom 2-17, 2-19 binary coded 3-13 chi-square cumulative distribution function 8-35 binary pattern 6-12 Chi-square distribution 8-2 BINCDF 8-2, 8-17 chi-square distribution 8-163 binomial cumulative distribution function 8-17 chi-square percent point function 8-39 binomial distribution 8-2 chi-square probability density function 8-37 binomial percent point function 8-21 CHI-SQUARED RANDOM NUMBERS 5-3 binomial probability density function 8-19 CHOLESKY DECOMPOSITION 4-1, 4-3 BINOMIAL RANDOM NUMBERS 5-4 Cholesky decomposition 4-3, 4-71, 4-73 BINPAT 6-2, 6-12 Cholesky square root 4-3 BINPDF 8-2, 8-19 CHSCDF 8-2, 8-35 CHSPDF 8-2, 8-37 D CHSPPF 8-2, 8-39 DATA 3-1 classical adjoint 4-11 data analysis 1-1 COCODE 3-1, 3-10 DECILE 2-2, 2-21 COCOPY 3-1, 3-11 decimal to octal 6-18 CODE 3-1, 3-12 DECOCT 6-1, 6-18 CODE2 3-1, 3-13 DECONVOLUTION 3-2 CODE4 3-1, 3-14 definite integral 3-55 CODE8 3-1, 3-15 DERIVATIVE 3-2, 3-39 CODEH 3-16 derivative at specific points 3-39 CODEN 3-17 derivative function 3-39 COEFFICIENT OF VARIATION 2-13 derivatives 3-96 cofactors 4-11, 4-13 determinant 4-11, 4-13, 4-18, 4-32 command driven 1-1 DEXCDF 8-2, 8-41 COMOVEMENT 2-2, 2-14 DEXPDF 8-2, 8-43 comovement coefficient 2-14 DEXPPF 8-2, 8-45 complementary error function 6-22 DEXSF 8-2, 8-47 complementary incomplete gamma function 6-31 DIAGONAL MATRIX 4-2, 4-8 COMPLEX ADDITION 3-2, 3-18 differential equations 3-96 COMPLEX CONJUGATE 3-19 DIM 6-1, 6-19 COMPLEX CONJUGATES 3-2 DIRECTION ANGLES 3-122 COMPLEX DIVISION 3-2, 3-20 DIRECTION COSINES 3-122 COMPLEX EXPONENTIATION 3-2, 3-21 DISCDF 8-2, 8-49 COMPLEX MULTIPLICATION 3-2, 3-22 discrete convolution 3-29, 3-37 COMPLEX ROOTS 3-2, 3-23 discrete cosine transform 3-31 COMPLEX SQUARE ROOT 3-27 discrete Fourier transform 3-43, 3-47, 3-58, 3-63 COMPLEX SQUARE ROOTS 3-2 discrete inverse Fourier transforms 3-43, 3-47, 3-58, 3-63 COMPLEX SUBTRACTION 3-2, 3-28 discrete sine transform 3-110 complex variable 3-18, 3-19, 3-20, 3-21, 3-22, 3-23, 3-27, 3-28 discrete uniform cumulative distribution 8-49 condition number 4-3, 4-18, 4-47 discrete uniform distribution 8-2 constraints 4-44 discrete uniform percent point function 8-53 CONVOLUTION 3-2, 3-29 discrete uniform probability density function 8-51 CORRELATION 2-2, 2-15 DISCRETE UNIFORM RANDOM NUMBERS 5-3 correlation 2-2, 4-57 DISPDF 8-2 correlation coefficient 2-15, 4-7 DISPPF 8-2, 8-53 CORRELATION MATRIX 4-1, 4-7 distance 3-119 COS 7-1, 7-26 DISTINCT 3-1, 3-42 cosecant 7-34 DNFCDF 8-2, 8-55 COSH 7-1, 7-28 DNFPPF 8-2, 8-57 cosine 7-26 DNTCDF 8-2, 8-59 COSINE TRANSFORM 3-2, 3-31 DNTPPF 8-2, 8-61 COT 7-1, 7-30 dot product 3-120 cotangent 7-30 double exponential cumulative distribution function 8-41 COTH 7-1, 7-32 Double exponential distribution 8-2 COUNT 2-49 double exponential percent point function 8-45 COVARIANCE 2-2, 2-16 double exponential probability density function 8-43 covariance 2-2, 4-57 double exponential sparsity function 8-47 CP 2-2, 2-17 doubly non-central F cumulative distribution function 8-55 CPK 2-2, 2-19 doubly non-central F distribution 8-2 cross product 3-118 doubly non-central F percent point function 8-57 CSC 7-1, 7-34 doubly non-central t cumulative distribution function 8-59 CSCH 7-1, 7-36 doubly non-central t distribution 8-2 CSQRT 3-27 cubic spline interpolation 3-56 E cumulative distribution function 8-4 eigenvalue 4-20, 4-24, 4-49, 4-50, 4-57 CUMULATIVE INTEGRAL 3-2, 3-33 eigenvector 4-20, 4-24, 4-57 CUMULATIVE PRODUCT 3-1, 3-34 EISPACK 4-20 CUMULATIVE SUM 3-1 EMCDF 8-203 ERF 6-1, 6-20 ERFC 6-1, 6-22 Erlang distribution 8-95, 8-97, 8-99 FOURIER TRANSFORM 3-2, 3-47 error function 6-20 Fourier transform 3-43, 3-47, 3-58, 3-63 EV1CDF 8-2, 8-63 FPDF 8-2, 8-85 EV1PDF 8-2, 8-65 FPPF 8-3, 8-87 EV1PPF 8-2, 8-67 FRACT 6-1, 6-26 EV2CDF 8-2, 8-69 FRACTAL 3-2, 3-50 EV2PDF 8-2, 8-71 fractional part of a number 6-26 EV2PPF 8-2, 8-73 FRECHET 5-4 EXP 6-1, 6-24 Frechet distribution 8-2, 8-71 EXPCDF 8-2, 8-75 frequencies of distinct values 3-53 EXPECTED LOSS 2-2, 2-23 FREQUENCY 3-1, 3-53 exponential cumulative distribution function 8-75 frequency data 2-65, 2-66, 2-68 Exponential distribution 8-2 frequency domain 3-31, 3-43, 3-47, 3-58, 3-63, 3-110 exponential function 6-24 functions 1-1 exponential percent point function 8-79 exponential probability density function 8-77 G EXPONENTIAL RANDOM NUMBERS 5-2 GAMCDF 8-3, 8-95 exponential sparsity function 8-81 GAMMA 5-3, 6-1, 6-27 EXPPDF 8-2, 8-77 gamma cumulative distribution function 8-95 EXPPPF 8-2, 8-79 Gamma distribution 8-3 EXPSF 8-2, 8-81 gamma function 6-27, 6-49 EXTREME 2-1, 2-24 gamma percent point function 8-99 Extreme value analysis 2-36 gamma probability density function 8-97 EXTREME VALUE TYPE 1 RANDOM NUMBERS 5-2 GAMMA RANDOM NUMBERS 5-3 EXTREME VALUE TYPE 2 RANDOM NUMBERS 5-3 GAMMAI 6-1, 6-29 extreme value type I cumulative distribution function 8-63 GAMMAIC 6-1, 6-31 Extreme Value Type I distribution 8-2 GAMMAIP 6-2, 6-33 extreme value type I percent point function 8-67 GAMMAR 6-2, 6-35 extreme value type I probability density function 8-65 GAMPDF 8-3, 8-97 extreme value type II cumulative distribution function 8-69 GAMPPF 8-3, 8-99 Extreme Value Type II distribution 8-2 Gaussian quadrature 3-33 extreme value type II percent point function 8-73 generalized Pareto cumulative distribution function 8-107, 8- extreme value type II probability density function 8-71 109, 8-111 extremes 2-1 Generalized Pareto distribution 8-3 GENERALIZED PARETO RANDOM NUMBERS 5-4 F GENERATOR MULTIPLICATION 3-54 F cumulative distribution function 8-83 GEOCDF 8-3, 8-101 F distribution 8-2 geometric cumulative distribution function 8-101 F percent point function 8-87 Geometric distribution 8-3 F probability density function 8-85 geometric percent point function 8-105 F RANDOM NUMBERS 5-3 geometric probability density function 8-103 factorial 6-27, 6-49 GEOMETRIC RANDOM NUMBERS 5-4 fast Fourier transform 3-43 GEOPDF 8-3, 8-103 Fatigue Life distribution 8-3 GEOPPF 8-3, 8-105 FATIGUE LIFE RANDOM NUMBERS 5-4 GEPCDF 8-3, 8-107 fatigue-life cumulative distribution function 8-89 GEPPDF 8-3, 8-109 fatigue-life percent point function 8-93 GEPPPF 8-111 fatigue-life probability density function 8-91 graphics 1-1 FCDF 8-2, 8-83 GUMBEL 5-3 FFT 3-2, 3-43 Gumbel distribution 8-2, 8-65 Fibonnacci generator 5-2 FIBONNACCI NUMBERS 3-1, 3-46 H first order derivatives 3-40 half-normal cumulative distribution function 8-113 first order differential equations 3-96 Half-Normal distribution 8-3 Fisher’s discriminant analysis 4-77 half-normal percent point function 8-117 FIT 1-1 half-normal probability density function 8-115 fit 1-1, 2-6, 2-59 HALFNORMAL RANDOM NUMBERS 5-2 FLCDF 8-3, 8-89 HFNCDF 8-3, 8-113 FLPDF 8-3, 8-91 HFNPDF 8-3, 8-115 FLPPF 8-3, 8-93 HFNPPF 8-3, 8-117 higher order derivatives 3-40 Julia set 6-39 hinge coded 3-16 HYPCDF 8-3, 8-119 K hyperbolic arccosecant 7-12 K 5-4 hyperbolic arccosine 7-4 Koch curve 3-50 hyperbolic arccotangent 7-8 Koch snowflake 3-50 hyperbolic arcsecant 7-16 Kruskal- Wallis 3-93 hyperbolic arcsine 7-20 KURTOSIS 2-1, 2-26 hyperbolic arctangent 7-24 hyperbolic cosecant 7-36 L hyperbolic cosine 7-28 LAMBDA 5-3 hyperbolic cotangent 7-32 LAMCDF 8-5, 8-131 hyperbolic secant 7-40 LAMPDF 8-5, 8-133 hyperbolic sine 7-44 LAMPPF 8-5, 8-135 hyperbolic tangent 7-48 LAMSF 8-5, 8-137 hypergeometric cumulative distribution function 8-119 Laplace distribution 8-2, 8-43 hypergeometric distribution 8-3 Leigh-Perlman comovement coefficient 2-14, 2-41 hypergeometric percent point function 8-123 length 3-121 hypergeometric probability mass function 8-121 LET 1-1, 1-2 HYPERGEOMETRIC RANDOM NUMBERS 5-4 LGNCDF 8-3, 8-139 HYPPDF 8-3, 8-121 LGNPDF 8-3, 8-141 HYPPPF 8-3, 8-123 LGNPPF 8-3, 8-143 linear equations 4-30, 4-47, 4-73, 4-75 I LINEAR INTERPOLATION 3-2, 3-68 IGCDF 8-3, 8-125 linear programming 4-44 IGPDF 8-127 LINPACK 4-3, 4-18, 4-28, 4-30, 4-47, 4-64, 4-66, 4-68, 4-71, 4- IGPPF 8-3, 8-129 73, 4-75 incomplete beta function 6-10 LN 6-1, 6-41 incomplete gamma function 6-29, 6-33 LNBETA 6-2, 6-43 incomplete gamma function ratio 6-33 location 2-1 IND 6-1, 6-37 LOG 6-1 index variable i 2-53 LOG10 6-1, 6-47 index, process capability 2-17, 2-19 LOG2 6-1, 6-45 indicator function 6-37 LOGCDF 8-3, 8-145 initial value problems 3-96 LOGGAMMA 6-2, 6-49 INNER PRODUCT 3-120 LOGICAL AND 3-3, 3-70 inner product 3-120 LOGICAL IFF 3-3, 3-71 INT 6-1 LOGICAL IFTHEN 3-3, 3-72 integer portion of a number 6-38 LOGICAL NAND 3-3, 3-73 INTEGRAL 3-2, 3-55 LOGICAL NOR 3-3, 3-74 interactive 1-1 LOGICAL NOT 3-3, 3-75 INTERPOLATION 3-2, 3-56 LOGICAL OR 3-3 inverse fast Fourier transform 3-58 LOGICAL XOR 3-3, 3-77 INVERSE FFT 3-2, 3-58 logistic cumulative distribution function 8-145 INVERSE FOURIER TRANSFORM 3-2, 3-63 logistic distribution 8-3 inverse Fourier transform 3-43, 3-47, 3-58, 3-63 LOGISTIC NUMBERS 3-2, 3-78 inverse Gaussian cumulative distribution function 8-125 logistic percent point function 8-149 Inverse Gaussian distribution 8-3 logistic probability density function 8-147 inverse Gaussian probability density function 8-127, 8-129 LOGISTIC RANDOM NUMBERS 5-2 INVERSE GAUSSIAN RANDOM NUMBERS 5-4 logistic sequence 3-78 inverse of a triangular matrix 4-71 logistic sparsity function 8-151 inward bracketing 3-95 lognormal cumulative distribution function 8-139 iterative improvement 4-30 Log-Normal distribution 8-3 lognormal percent point function 8-143 J lognormal probability density function 8-141 jacknife 2-2, 2-9, 2-11, 2-25 LOGNORMAL RANDOM NUMBERS 5-2 jacknife analysis 2-25 LOGPDF 8-3, 8-147 JACKNIFE INDEX 2-2, 2-25 LOGPPF 8-3, 8-149 JACKNIFE SAMPLE 2-11 LOGSF 8-3, 8-151 JULIA 6-2, 6-39 LOWER HINGE 2-1, 2-27 LOWER QUARTILE 2-2, 2-28 NCBPPF 8-4, 8-161 LSL 2-17, 2-19, 2-23, 2-38 NCCCDF 8-4, 8-163 LU decomposition 4-18, 4-28, 4-30, 4-32, 4-47 NCCNCP 8-4, 8-165 NCCPPF 8-4, 8-167 M NCFCDF 8-4, 8-169 mathematical operations 3-1 NCFPPF 8-4, 8-171 mathematics 1-1 NCTCDF 8-4, 8-173 MATRIX ADDITION 4-1, 4-9 NCTPPF 8-4, 8-175 MATRIX ADJOINT 4-2, 4-11 negative binomial cumulative distribution function 8-153 MATRIX AUGMENT 4-2, 4-12 negative binomial distribution 8-3 MATRIX COFACTOR 4-2 negative binomial percent point function 8-157 MATRIX DEFINITION 4-2, 4-16 negative binomial probability density function 8-155 MATRIX DETERMINANT 4-1, 4-18 NEGATIVE BINOMIAL RANDOM NUMBERS 5-4 MATRIX DIAGONAL 4-2, 4-15 non-central beta cumulative distribution function 8-159 MATRIX EIGENVALUES 4-1, 4-20 Non-central beta distribution 8-4 MATRIX EIGENVECTORS 4-1, 4-24 non-central chi-square cumulative distribution function 8-163 MATRIX ELEMENT 4-2, 4-26 non-central chi-square distribution 8-4 MATRIX EUCLIDEAN NORM 4-1, 4-27 non-central chi-square percent point function 8-167 MATRIX INVERSE 4-1, 4-28 non-central F distribution 8-4 MATRIX ITERATIVE SOLUTION 4-1, 4-30, 4-47 non-central t distribution 8-4 MATRIX MINOR 4-2 non-central t percent point function 8-175 MATRIX MULTIPLICATION 4-1, 4-34 non-parametric 2-9, 2-11, 2-25, 3-93 MATRIX NUMBER OF COLUMNS 4-2, 4-36 NORCDF 8-4, 8-177 MATRIX NUMBER OF ROWS 4-2, 4-37 norm 3-121 MATRIX RANK 4-2, 4-38 Normal distribution 8-4 MATRIX REPLACE ELEMENT 4-2, 4-40 NORMAL PPCC 2-2, 2-35 MATRIX REPLACE ROW 4-2, 4-41 NORMAL RANDOM NUMBERS 5-2 MATRIX ROW 4-2, 4-43 NORPDF 8-4, 8-179 MATRIX SIMPLEX SOLUTION 4-1 NORPPF 8-4, 8-181 MATRIX SOLUTION 4-1, 4-30, 4-47 NORSF 8-4, 8-183 MATRIX SPECTRAL NORM 4-1, 4-49 NT 6-38 MATRIX SPECTRAL RADIUS 4-1, 4-50 NU 5-3 MATRIX SUBMATRIX 4-2, 4-51 NU1 5-3 MATRIX SUBTRACTION 4-1, 4-52 NU2 5-3 MATRIX TRACE 4-2, 4-54 NUMBER 2-1, 2-49 MATRIX TRANSPOSE 4-2, 4-55 numbers 1-1 MAX 6-1, 6-51 MAXIMUM 2-2, 2-29 O maximum 6-51 objective function 4-44 MEAN 2-1, 2-30 octal to decimal 6-55 mean 2-30, 2-65, 2-69 OCTDEC 6-1, 6-55 MEDIAN 2-1, 2-31 octile coded 3-15 M-estimators of regression 2-6, 2-59 ORDER STATISTIC MEDIANS 2-2 MIDMEAN 2-1, 2-32 ORDER STATISTICS MEDIANS 2-36 MIDRANGE 2-1, 2-33 orthogonal 4-66 MIN 6-1, 6-52 orthogonal matrix 4-64, 4-68 MINIMUM 2-2, 2-34 orthogonal polynomials 6-14 minimum 6-52 MOD 6-1, 6-53 P mod function 6-53 P 5-4 most significant digit 6-54 P1 2-58 MSD 6-1, 6-54 P2 2-58 parameters 1-1 N PARCDF 8-4, 8-185 N 5-3, 5-4 Pareto 8-4 natural logarithm 6-41 Pareto cumulative distribution function 8-185 NBCDF 8-3, 8-153 Pareto percent point function 8-189 NBPDF 8-3, 8-155 Pareto probability density function 8-187 NBPPF 8-3, 8-157 PARETO RANDOM NUMBERS 5-4 NCBCDF 8-4, 8-159 PARPDF 8-4, 8-187 PARPPF 8-4, 8-189 real roots of a function 3-95 PATTERN 3-2, 3-81 real symmetric 4-20 PERCENT DEFECTIVE 2-2, 2-38 reciprocal gamma function 6-35 percent point function 8-4 RECIPROCAL INVER GAUSSIAN RAND NUMB 5-4 percentile coded 3-17 reciprocal inverse Gaussian cumulative distribution function 8- percentiles 2-1, 2-21 197 PLOT 1-1 reciprocal Inverse Gaussian distribution 8-4 POICDF 8-4, 8-191 reciprocal inverse Gaussian percent point function 8-201 POIPDF 8-4, 8-193 reciprocal inverse Gaussian probability density function 8-199 POIPPF 8-4, 8-195 RELATIVE SD 2-46 Poisson cumulative distribution function 8-191 RELATIVE STANDARD DEVIATION 2-1, 2-46 Poisson distribution 8-4 RELATIVE VARIANCE 2-1, 2-48 Poisson percent point function 8-195 RELATIVE VARIANCE OF THE MEAN 2-1 Poisson probability density function 8-193 residuals 2-6, 2-59 POISSON RANDOM NUMBERS 5-3 resistive 2-6, 2-59 POLYNOMIAL ADDITION 3-2, 3-82 RIGCDF 8-4, 8-197 POLYNOMIAL DIVISION 3-2, 3-83 RIGPDF 8-199 POLYNOMIAL EVALUATION 3-2, 3-84 RIGPPF 8-4, 8-201 POLYNOMIAL MULTIPLICATION 3-2, 3-86 robust 2-6, 2-59 POLYNOMIAL SQUARE 3-3, 3-89 Robust Fitting 2-7 POLYNOMIAL SUBTRACTION 3-3, 3-90 ROOTS 3-2, 3-95 positive definite 4-3, 4-71, 4-73 ROUND 6-1, 6-56 positive difference 6-19 RUNGE KUTTA 3-2, 3-96 POWER FUNCTION RANDOM NUMBERS 5-4 PRIME 3-91 S PRIME NUMBERS 3-2 sample size 2-1 PRINCIPAL COMPONENT TYPE 4-59 sampling distribution of a statistic 2-9, 2-11, 2-25 PRINCIPAL COMPONENTS 4-57 sampling with replacement 2-39, 2-53 principal components, graphical representation 4-58 sampling without replacement 2-39 PRINCIPAL COORDINATE ANALYSIS 4-22 scalars 1-1 PRINCIPLE COMP EIGENVALUE 4-1 SEC 7-1, 7-38 PRINCIPLE COMP EIGENVECTOR 4-2 secant 7-38 PRINCIPLE COMPONENTS 4-1 SECH 7-1, 7-40 principle components regression 4-59 second order differential equations 3-96 probability density function 8-4 SEED 2-9, 2-11, 2-39, 5-2 Probability functions 1-3 SEMCDF 8-4 probability functions 8-1 semi-circular cumulative distribution function 8-203 Process capability index 2-17, 2-19 semi-circular distribution 8-4 PRODUCT 3-1, 3-92 semi-circular percent point function 8-207 semi-circular probability density function 8-205 Q SEMI-CIRCULAR RANDOM NUMBERS 5-2 quadratic 4-3 SEMPDF 8-4, 8-205 quadratic function 6-39 SEMPPF 8-4, 8-207 Quality Control 2-18, 2-19, 2-23, 2-38 SEQUENCE 3-2, 3-101 quality control 2-2 sequence of values 3-101 quartile coded 3-14 SEQUENTIAL DIFFERENCE 3-1, 3-103 QUICKSORT algorithm 3-112, 3-113 SET CARDINALITY 3-3, 3-104 SET CARTESIAN PRODUCT 3-3, 3-105 R SET COMPLEMENT 3-3, 3-106 random numbers 5-1 SET DISTINCT 3-42 RANDOM PERMUTATION 2-2, 2-39 SET ELEMENTS 3-42 RANDOM SAMPLE 2-11 SET INTERSECTION 3-3, 3-107 random samples 2-2 SET MINMAX 8-63, 8-65, 8-67, 8-69, 8-71, 8-73, 8-107, 8- RANGE 2-1, 2-40 241, 8-243, 8-245 RANK 3-1, 3-93 SET UNION 3-3, 3-109 RANK COMOVEMENT 2-2, 2-41 shape 2-1 RANK CORRELATION 2-2, 2-43 SIGN 6-1, 6-57 RANK COVARIANCE 2-2, 2-45 simplex solution 4-44 rank of a matrix 4-38 SIN 7-1, 7-42 real non- symmetric 4-20 sine 7-42 SINE TRANSFORM 3-2, 3-110 triangular cumulative distribution 8-215 SINGULAR VALUE DECOMP 4-1 triangular distribution 8-4 SINGULAR VALUE DECOMPOSITION 4-66 TRIANGULAR INVERSE 4-1, 4-28, 4-71 singular value decomposition 4-38, 4-64, 4-66 triangular matrix 4-71, 4-73 SINGULAR VALUE FACTOR 4-1 triangular percent point function 8-219 SINGULAR VALUE FACTORIZATION 4-68 triangular probability density function 8-217 singular value factorization 4-64, 4-66, 4-68 TRIANGULAR RANDOM NUMBERS 5-2 SINGULAR VALUES 4-1, 4-64 TRIANGULAR SOLUTION 4-47, 4-73 singular values 4-38, 4-64, 4-66 TRIANGULAR SOLVE 4-1 SINH 7-1, 7-44 TRICDF 8-4, 8-215 SIZE 2-1, 2-49, 3-104 TRICOMI 6-2, 6-60 skewed data 6-41 Tricomi’s incomplete gamma function 6-60 SKEWNESS 2-1, 2-50 TRICUBE 2-2, 2-59 SORT 3-1, 3-112 tricube transformation 2-59 Sort and carry 3-113 tridiagonal matrix 4-75 SORTC 3-1, 3-113 TRIDIAGONAL SOLUTION 4-47, 4-75 Spearman rank correlation 2-43 TRIDIAGONAL SOLVE 4-1, 4-47 specification limits 2-17, 2-19, 2-23, 2-38 Trigonometric functions 1-3 spectral norm 4-49 TRIMMED MEAN 2-1, 2-58 spectral radius 4-50 TRIPDF 8-4, 8-217 spread 2-1 TRIPPF 8-219 SQRT 6-1, 6-58 triweight transformation 2-59 square root 6-58 TUKEY LAMBDA RANDOM NUMBERS 5-3 STANDARD DEVIATION 2-1, 2-51 Tukey-Lambda cumulative distribution function 8-131 standard deviation 2-51, 2-66 Tukey-Lambda distribution 8-5 STANDARD DEVIATION OF THE MEAN 2-1, 2-52 Tukey-Lambda percent point function 8-135 standard normal cumulative distribution function 8-177 Tukey-Lambda probability density function 8-133 standard normal percent point function 8-181 Tukey-Lambda sparsity function 8-137 standard normal probability density function 8-179 type specification 1-2 STANDARDIZED 3RD CENTRAL MOMENT 2-50 STANDARDIZED 4TH CENTRAL MOMENT 2-26 U STANDARDIZED FOURTH CENTRAL MOMENT 2-26 UNICDF 8-5, 8-221 STANDARDIZED THIRD CENTRAL MOMENT 2-50 uniform cumulative distribution function 8-221 statistics 2-1 Uniform distribution 8-5 SUBSAMPLE 2-2, 2-53 uniform percent point function 8-225 SUM 3-1, 3-114 uniform probability density function 8-223 symmetric 4-77 UNIFORM RANDOM NUMBERS 5-2 symmetry 2-50 uniform sparsity function 8-227 UNIPDF 8-5, 8-223 T UNIPPF 8-5, 8-225 t cumulative distribution function 8-209 UNISF 8-5, 8-227 t distribution 8-4 UPPER HINGE 2-2, 2-61 t percent point function 8-213 UPPER QUARTILE 2-2, 2-62 t probability density function 8-211 upper triangular matrix 4-3 T RANDOM NUMBERS 5-3 USL 2-17, 2-19, 2-23, 2-38 TAGUCHI SN- 2-2, 2-57 TAGUCHI SN+ 2-2, 2-56 V TAGUCHI SN0 2-2, 2-54 variables 1-1 TAGUCHI SN00 2-2, 2-55 VARIANCE 2-1, 2-63 TAN 7-1, 7-46 variance 2-68 tangent 7-46 VARIANCE OF THE MEAN 2-64 TANH 7-1, 7-48 VARIANCE-COVA MATRIX 4-1 TCDF 8-4, 8-209 VARIANCE-COVARIANCE MATRIX 4-77 time domain 3-31, 3-43, 3-47, 3-58, 3-63, 3-110 variance-covariance matrix 4-77 Time Series Analysis 2-3, 2-4 vector 3-115, 3-116, 3-118, 3-119, 3-120, 3-121, 3-123 TPDF 8-4, 8-211 VECTOR ADDITION 3-3, 3-115 TPPF 8-4, 8-213 VECTOR ANGLE 3-3, 3-116 transformations 1-2 VECTOR CROSS PRODUCT 3-3, 3-118 transpose 4-55 VECTOR DISTANCE 3-3, 3-119 Trapezoid rule 3-33 VECTOR DOT PRODUCT 3-3, 3-120, 4-44 VECTOR LENGTH 3-3, 3-121 VECTOR SUBTRACTION 3-3, 3-123 Von Mises cumulative distribution function 8-229 Von Mises distribution 8-5 Von Mises percent point function 8-233 Von Mises probability density function 8-231 VONCDF 8-5, 8-229 VONPDF 8-5, 8-231 VONPPF 8-5, 8-233

W WALCDF 8-5, 8-235 Wald cumulative distribution function 8-235 Wald distribution 8-5, 8-125, 8-127, 8-129 Wald percent point function 8-239 Wald probability density function 8-237 WALD RANDOM NUMBERS 5-4 WALPDF 8-5, 8-237 WALPPF 8-5, 8-239 WEIBULL ADJUSTED RANKS 3-1, 3-124 Weibull cumulative distribution function 8-241 Weibull distribution 8-5 Weibull percent point function 8-245 Weibull plot 3-124 Weibull probability density function 8-243 WEIBULL RANDOM NUMBERS 5-3 WEICDF 8-5, 8-241 WEIGHTED MEAN 2-1, 2-65 WEIGHTED STANDARD DEVIATION 2-1, 2-66 WEIGHTED VARIANCE 2-1, 2-68 WEIPDF 8-5, 8-243 WEIPPF 8-5, 8-245 WINSORIZED MEAN 2-1, 2-69

Y Yates design 6-12