Zusammenfassung
Wissen wir einiges über die zu erwartende Heterogenität innerhalb der Grundgesamtheit, die wir untersuchen wollen, dann gibt es wirksamere Verfahren als die Auswahl zufälliger Stichproben. Wichtig ist die Verwendung geschichteter oder stratifizierter Stichproben; hier wird die Grundgesamtheit in relativ homogene Teilgrundgesamtheiten, Schichten oder Strata unterteilt, und zwar jeweils nach den Gesichtspunkten, die für das Studium der zu untersuchenden Variablen von Bedeutung sind. Geht es um die Voraussage von Wahlergebnissen, dann wird man die Stichprobe so wählen, daß sie ein verkleinertes Modell der Gesamtbevölkerung darstellt. Dabei werden in erster Linie Altersschichtung, das Verhältnis zwischen Männern und Frauen und die Einkommensgliederung berücksichtigt. So gliedern sich die Erwerbstätigen in der BRD nach der Stellung im Beruf etwa in 50% Arbeiter, 35% Angestellte, 8% Selbständige und 7% Beamte. Stratifizierung verteuert meist die Stichprobenerhebung, ist jedoch ein wichtiges Hilfsmittel. Der Stichprobenumfang pro Schicht ist umso kleiner, je kleiner die Schicht, je kleiner die Varianz und je teurer die Erhebung in der betreffenden Schicht ist.
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Literatur zu den einzelnen Kapiteln
Ailing, D. W.: Early decision in the Wilcoxon two-sample test. J. Amer. Statist. Assoc. 58 (1963), 713–720 [vgl. auch 69 (1974), 414-422].
Anscombe, F. J.: Rejection of outliers. Technometrics 2 (1960), 123–166 [vgl. auch 11 (1969), 527-550, 13 (1971), 110-112, 15 (1973), 385-404, 723-737].
Banerji, S.K.: Approximate confidence interval for linear functions of means of k populations when the population variances are not equal. Sankhya 22 (1960), 357 + 358.
Bauer, R. K.: Der „Median-Quartile-Test“: Ein Verfahren zur nichtparametrischen Prüfung zweier unabhängiger Stichproben auf un spezifizierte Verteilungsunterschiede. Metrika 5 (1962), 1–16.
Behrens, W.-V.: Ein Beitrag zur Fehlerberechnung bei wenigen Beobachtungen. Landwirtschaftliche Jahrbücher 68 (1929), 807–837.
Belson, I., and Nakano, K.: Using single-sided non-parametric tolerance limits and percentiles. Industrial Quality Control 21 (May 1965), 566–569.
Bhapkar, V.P., and Deshpande, J. V.: Some nonparametric tests for multisample problems. Techno-metrics 10 (1968), 578–585.
Birnbaum, Z. W., und Hall, R. A.: Small sample distribution for multisample statistics of the Smirnov type. Ann. Math. Stat. 31 (1960), 710–720 [vgl. auch 40 (1969), 1449-1466 sowie J. Amer. Statist. Assoc. 71 (1976), 757-762].
Bowker, A.H., and Lieberman, G.J.: Engineering Statistics. (Prentice-Hall) Englewood Cliffs, N.J. 1959.
Box, G.E.P.: Non-normality and tests on variances. Biometrika 40 (1953), 318–335.
Box, G.E.P., and Andersen, S.L.: Permutation theory in the derivation of robust criteria and the study of departures from assumption. With discussion. J. Roy. Statist. Soc., Ser. B 17 (1955), 1–34.
Boyd, W.C.: A nomogramm for the “Studenf”-Fisher t test. J. Amer. Statist. Assoc. 64 (1969), 1664–1667.
Bradley, J.V.: Distribution-Free Statistical Tests. (Prentice-Hall, pp.388) Englewood Cliffs, N.J. 1968, Chapters 5 and 6.
Bradley, R.A., Martin, D.C., and Wilcoxon, F.: Sequential rank-tests I. Monte Carlo studies of the two-sample procedure. Technometrics 7 (1965), 463–483.
Bradley, R.A., S.D. Merchant, and Wilcoxon, F.: Sequential rank tests II. Modified two-sample procedures. Technometrics 8 (1966), 615–623.
Breny, H.: L’état actuel du problème de Behrens-Fisher. Trabajos Estadist. 6 (1955), 111–131.
Burrows, G. L.: (1) Statistical tolerance limits — what are they? Applied Statistics 12 (1963), 133–144.
(2) One-sided normal tolerance factors. New tables and extended use of tables. Mimeograph, Knolls Atomic Power Lab., General Electric Company, USA 1964.
Cacoullos, T.: A relation between t and F-distributions. J. Amer. Statist. Assoc. 60 (1965), 528–531.
Cadwell, J.H.: (1) Approximating to the distributions of measures of dispersion by a power of chi-square. Biometrika 40 (1953), 336–346.
Cadwell, J.H.: (2) The statistical treatment of mean deviation. Biometrika 41 (1954), 12–18.
Carnal, H. and Riedwyl, H.: On a one-sample distribution-free test statistic V. Biometrika 59 (1972), 465–467 [vgl. auch Statist. Hefte 14 (1973), 193-202].
Chacko, V.J.: Testing homogeneity against ordered alternatives. Ann. Math. Statist. 34 (1963), 945–956 [vgl. auch 38 (1967), 1740-1752].
Chakravarti, I. M.: Confidence set for the ratio of means of two normal distributions when the ratio of variances is unknown. Biometrische Zeitschr. 13 (1971), 89–94.
Chun, D.: On an extreme rank sum test with early decision. J. Amer. Statist. Assoc. 60 (1965), 859–863.
Cochran, W.G.: (1) Some consequences when the assumptions for the analysis of variance are not satisfied. Biometrics 3 (1947), 22–38.
Cochran, W.G.: (2) Modern methods in the sampling of human populations. Amer. J. Publ. Health 41 (1951), 647–653.
Cochran, W.G.: (3) Query 12, Testing two correlated variances. Technometrics 7 (1965), 447–449.
Cochran, W.G., Mosteller, F., and Tukey, J.W.: Principles of sampling. J. Amer. Statist. Assoc. 49 (1954), 13–35.
Cohen, J.: Statistical Power Analysis for the Behavioral Sciences (Acad. Pr., pp. 474) N. Y. 1977.
Conover, W. J.: Two k-sample slippage tests. J. Amer. Statist. Assoc. 63 (1968), 614–626.
Croarkin, Mary C.: Graphs for determining the power of Student’s t-test. J. Res. Nat. Bur. Stand. 66 B (1962), 59–70 (vgl. Errata: Mathematics of Computation 17 (1963), 83 [334]).
D’Agostino, R.B.: (1) Simple compact portable test of normality: Geary’s test revisited. Psychol. Bull. 74 (1970), 138–140 [vgl. auch 78 (1972), 262-265].
D’Agostino, R.B.: (2) An omnibus test of normality for moderate and large size samples. Biometrika 58 (1971), 341–348 [vgl. auch 63 (1976), 143-147].
D’Agostino, R.B.: (3) Small sample probability points for the D test of normality. Biometrika 59 (1972), 219–221 [vgl. auch 60 (1973), 169-173, 613-622, 623-628, 61 (1974), 181-184, 185-189].
Danziger, L., and Davis, S.A.: Tables of distribution-free tolerance limits. Ann. Math. Statist. 35 (1964), 1361–1365 [vgl. auch J. Qual. Technol. 7 (1975), 109-114].
Darling, D.A.: The Kolmogorov-Smirnov, Cramér-von Mises tests. Ann. Math. Statist. 28 (1957), 823–838.
Davies, O. L.: The Design and Analysis of Industrial Experiments. London 1956, p. 614.
Dietze, Doris: t for more than two. Perceptual and Motor Skills 25 (1967), 589–602.
Dixon, W. J.: (1) Analysis of extreme values. Ann. Math. Statist. 21 (1950), 488–506.
Dixon, W. J.: (2) Processing data for outliers. Biometrics 9 (1953), 74–89.
Dixon, W. J.: (3) Rejection of Observations. In Sarhan, A. E., and Greenberg, B. G. (Eds.): Contributions to Order Statistics. New York 1962, pp. 299-342.
Dixon, W. J., and Tukey, J.W.: Approximate behavior of the distribution of Winsorized t (trimming/Winsorization 2). Technometrics10 (1968), 83–98 [vgl. auch Statist. Hefte 15 (1974), 157-1
Edington, E. S.: The assumption of homogeneity of variance for the /-test and nonparametric tests. Journal of Psychology 59 (1965), 177–179.
Faulkenberry, G.D., and Daly, J.C.: Sample size for tolerance limits on a normal distribution. Technometrics 12 (1970), 813–821.
Fisher, R. A.: (1) The comparison of samples with possibly unequal variances. Ann. Eugen. 9 (1939), 174–180.
Fisher, R. A.: (2) The asymptotic approach to Behrens’s integral, with further tables for the d test of significance. Ann. Eugen. 11 (1941), 141–172.
Fisher, R.A., and Yates, F.: Statistical Tables for Biological, Agricultural and Medical Research, 6th ed., London 1963.
Geary, R.C.: (1) Moments of the ratio of the mean deviation to the standard deviation for normal samples. Biometrika 28 (1936), 295–305 (vgl. auch 27, 310/32, 34, 209/42 60, 613/622 sowie 61, 181/184).
Geary, R.C.: (2) Tests de la normalité. Ann. Inst. Poincaré 15 (1956), 35–65.
Gibbons, J.D.: On the power of two-sample rank tests on the equality of two distribution functions. J. Roy. Statist. Soc. B 26 (1964), 293–304.
Glasser, G. J.: A distribution-free test of independence with a sample of paired observations. J. Amer. Statist. Assoc. 57 (1962), 116–133.
Goldman, A.: On the Determination of Sample Size. (Los Alamos Sei. Lab.; LA-2520; 1961) U.S. Dept. Commerce, Washington 25, D.C. 1961 [vgl. auch Biometrics 19 (1963), 465-477].
Granger, C.W. J., and Neave, H.R.: A quick test for slippage. Rev. Inst. Internat. Statist. 36 (1968), 309–312.
Graybill, F.A., and Connell, T.L.: Sample size required to estimate the ratio of variances with bounded relative error. J. Amer. Statist. Assoc. 58 (1963), 1044–1047.
Grubbs, F.E.: Procedures for detecting outlying observations in samples. Technometrics 11 (1969), 1–21 [vgl. auch 527-550 und 14 (1972), 847-854; 15 (1973), 429].
Guenther, W.C.: Determination of sample size for distribution-free tolerance limits. The American Statistician 24 (Febr. 1970), 44–46.
Gurland, J., and McCullough, R.S.: Testing equality of means after a preliminary test of equality of variances. Biometrika 49 (1962), 403–417.
Guttmann, I.: Statistical Tolerance Regions. Classical and Bayesian. (Griffin, pp. 150) London 1970.
Haga, T.: A two-sample rank test on location. Annals of the Institute of Statistical Mathematics 11 (1960), (211–219).
Hahn, G. J.: Statistical intervals for a normal population. Part I and II. J. Qual. Technol. 2 (1970), 115–125 and 195-206 [vgl. auch 9 (1977), 6-12, 5 (1973), 178-188, Biometrika 58 (1971), 323-332, J. Amer. Statist. Assoc. 67 (1972), 938-942 sowie Technometrics 15 (1973), 897-914].
Halperin, M.: Extension of the Wilcoxon-Mann-Whitney test to samples censored at the same fixed point. J. Amer. Statist. Assoc. 55 (1960), 125–138 [vgl. Biometrika 52 (1965), 650-653].
Harmann, A. J.: Wilks’ tolerance limit sample sizes. Sankhya A 29 (1967), 215–218.
Harter, H.L.: Percentage points of the ratio of two ranges and power of the associated test. Biometrika 50 (1963), 187–194.
Herrey, Erna M. J.: Confidence intervals based on the mean absolute deviation of a normal sample. J. Amer. Statist. Assoc. 60 (1965), 257–269 (vgl. auch 66 [1971], 187 + 188).
Hodges, J.L., Jr., and Lehmann, E.L.: (1) The efficiency of some nonparametric competitors of the t-test. Ann. Math. Statist. 27 (1956), 324–335.
Hodges, J.L., Jr., and Lehmann, E.L.: (2) A compact table for power of the t-test. Ann. Math. Statist. 39 (1968), 1629–1637.
(3) Basic Concepts of Probability and Statistics. 2nd ed. (Holden-Day, pp.401) San Francisco 1970.
Hsiao, F. S. T.: The diagrammatical representation of confidence-interval estimation and hypothesis testing. The American Statistician 26 (Dec. 1972), 28+29.
Jacobson, J. E.: The Wilcoxon two-sample statistic: tables and bibliography. J. Amer. Statist. Assoc. 58 (1963), 1086–1103.
Johnson,.N.L., and Welch, B.L.: Applications of the noncentral /-distribution. Biometrika 31 (1940), 362–389.
Kendall, M.G.: The treatment of ties in ranking problems. Biometrika 33 (1945), 239–251.
Kim, P. J.: On the exact and approximate sampling distribution of the two sample Kolmogorov-Smirnow criterion D mn m ≦ n. J. Amer. Statist. Assoc. 64 (1969), 1625–1637 [vgl. auch. 68 (1973), 994-997 und Ann. Math. Statist. 40 (1969), 1449-1466].
Kolmogoroff, A.N.: Sulla determinazione empirica di una legge di distribuzione. Giornale Istituto Italiano Attuari 4 (1933), 83–91.
Krishnan, M.: Series representations of the doubly noncentral /-distribution. J. Amer. Statist. Assoc. 63 (1968), 1004–1012.
Kruskal, W.H.: A nonparametric test for the several sampling problem. Ann. Math. Statist. 23 (1952), 525–540.
Kruskal, W.H., and Wallis, W. A.: Use of ranks in one-criterion variance analysis. J. Amer. Statist. Assoc. 47 (1952), 583–621 und
Kruskal, W.H., and Wallis, W. A.: Use of ranks in one-criterion variance analysis. J. Amer. Statist. Assoc. 48 (1953), 907–911.
Krutchkoff, R.G.: The correct use of the sample mean absolute deviation in confidence intervals for a normal variate. Technometrics 8 (1966), 663–674.
Laan, P. van der: Simple distribution-free confidence intervals for a difference in location. Philips Res. Repts. Suppl. 1970, No. 5, pp.158.
Levene, H.: Robust tests for equality of variances. In I. Olkin and others (Eds.): Contributions to Probability and Statistics. Essays in Honor of Harold Hotelling, pp. 278-292. Stanford 1960 [vgl. J. Statist. Comput. Simul. 1 (1972), 183-194 u. J. Amer. Statist. Assoc. 69 (1974), 364-367].
Lieberman, G.J.: Tables for one-sided statistical tolerance limits. Industrial Quality Control 14 (Apr. 1958), 7–9.
Lienert, G.A., und Schulz, H.: Zum Nachweis von Behandlungswirkungen bei heterogenen Patientenstichproben. Ärztliche Forschung 21 (1967), 448–455.
Lindgren, B.W.: Statistical Theory. (Macmillan; pp. 427) New York 1960, p. 401, Table VI.
Lindley, D.V., East, D.A. and Hamilton, P.A.: Tables for making inferences about the variance of a normal distribution. Biometrika 47 (1960), 433–437.
Linnik, Y.V.: Latest investigation on Behrens-Fisher-problem. Sankhya 28 A (1966), 15–24.
Lord, E.: (1) The use of range in place of standard deviation in the /-test. Biometrika 34 (1947), 41–67.
Lord, E.: (2) Power of the modified t-test (u-test) based on range. Biometrika 37 (1950), 64–77.
Mace, A. E.: Sample-Size Determination. (Reinhold; pp.226) New York 1964.
MacKinnon, W.J.: Table for both the sign test and distribution-free confidence intervals of the median for sample sizes to 1,000. J. Amer. Statist. Assoc. 59 (1964), 935–956.
Mann, H. B., and Whitney, D. R.: On a test of whether one of two random variables is stochastically larger than the other. Ann. Math. Statist. 18 (1947), 50–60.
Massey, F.J., Jr.: (1) The distribution of the maximum deviation between two sample cumulative step functions. Ann. Math. Statist. 22 (1951), 125–128.
Massey, F.J., Jr.: (2) Distribution table for the deviation between two sample cumulatives. Ann. Math. Statist. 23 (1952), 435–441.
McCullough, R.S., Gurland, J., and Rosenberg, L.: Small sample behaviour of certain tests of the hypothesis of equal means under variance heterogeneity. Biometrika 47 (1960), 345–353.
McHugh, R.B.: Confidence interval inference and sample size determination. The American Statistician 15 (April 1961), 14–17.
Mehta, J. S. and Srinivasan, R.: On the Behrens-Fisher problem. Biometrika 57 (1970), 649–655.
Meyer-Bahlburg, H.F.L.: A nonparametric test for relative spread in k unpaired samples. Metrika 15 (1970), 23–29.
Miller, L.H.: Table of percentage points of Kolmogorov statistics. J. Amer. Statist. Assoc. 51 (1956), 113–115.
Milton, R.C.: An extended table of critical values for the Mann-Whitney (Wilcoxon) two-sample statistic. J. Amer. Statist. Assoc. 59 (1964), 925–934.
Minton, G.: (1) Inspection and correction error in data processing. J. Amer. Statist. Assoc. 64 (1969), 1256–1275 [vgl. auch 71 (1976), 17-35 sowie insbesondere Maria E. Gonzalez u. Mitarb., J. Amer. Statist. Assoc. 70 (Sept. 1975), Nr. 351, Part II, 1-23].
Minton, G.: (2) Some decision rules for administrative applications of quality control. J. Qual. Technol. 2 (1970), 86–98 [vgl. auch 3 (1971), 6-17].
Mitra, S.K.: Tables for tolerance limits for a normal population based on sample mean and range or mean range. J. Amer. Statist. Assoc. 52 (1957), 88–94.
Moore, P.G.: The two sample /-test based on range. Biometrika 44 (1957), 482–489.
Mosteller, F.: A k-sample slippage test for an extreme population. Ann. Math. Stat. 19 (1948), 58–65 (vgl. auch 21 [1950], 120-123).
Neave, H.R.: (1) A development of Tukeys quick test of location. J. Amer. Statist. Assoc. 61 (1966), 949–964.
Neave, H.R.: (2) Some quick tests for slippage. The Statistician 21 (1972), 197–208 [vgl. 22, 269-280].
Neave, H.R., and Granger, C.W.J.: A Monte Carlo study comparing various two-sample tests for differences in mean. Technometrics 10 (1968), 509–522.
Nelson, L.S.: (1) Nomograph for two-sided distribution-free tolerance intervals. Industrial Quality Control 19 (June 1963), 11–13.
Nelson, L.S.: (2) Tables for Wilcoxon’s rank sum test in randomized blocks. J. Qual. Technol. 2 (Oct. 1970), 207–218.
Neyman, J.: First Course in Probability and Statistics. New York 1950.
Owen, D.B.: (1) Factors for one-sided tolerance limits and for variables sampling plans. Sandia Corporation, Monograph 607, Albuquerque, New Mexico, March 1963.
Owen, D.B.: (2) The power of Student’s t-test. J. Amer. Statist. Assoc. 60 (1965), 320–333 and 1251.
Owen, D.B.: (3) A survey of properties and applications of the noncentral t-distribution. Technometrics 10 (1968), 445–478.
Owen, D.B., and Frawley, W.H.: Factors for tolerance limits which control both tails of the normal distribution. J. Qual. Technol. 3 (1971), 69–79.
Parren, J.L. Van der: Tables for distribution-free confidence limits for the median. Biometrika 57 (1970), 613–617.
Pearson, E.S., and Stephens, M.A.: The ratio of range to standard deviation in the same normal sample. Biometrika 51 (1964), 484–487.
Penfleld, D.A., and McSweeney, Maryellen: The normal scores test for the two-sample problem. Psychological Bull. 69 (1968), 183–191.
Peters, C.A.F.: Über die Bestimmung des wahrscheinlichen Fehlers einer Beobachtung aus den Abweichungen der Beobachtungen von ihrem arithmetischen Mittel. Astronomische Nachrichten 44 (1856), 30+31.
Pierson, R.H.: Confidence interval lengths for small numbers of replicates. U.S. Naval Ordnance Test Station. China Lake, Calif. 1963.
Pillai, K.C.S., and Buenaventura, A.R.: Upper percentage points of a substitute F-ratio using ranges. Biometrika 48 (1961), 195+196.
Potthoff, R.F.: Use of the Wilcoxon statistic for a generalized Behrens-Fisher problem. Ann. Math. Stat. 34 (1963), 1596–1599.
Pratt, J. W.: Robustness of some procedures for the two-sample location problem. J. Amer. Statist. Assoc. 59 (1964), 665–680.
Proschan, F.: Confidence and tolerance intervals for the normal distribution. J. Amer. Statist. Assoc. 48 (1953), 550–564.
Quesenberry, C.P., and David, H.A.: Some tests for outliers. Biometrika 48 (1961), 379–390.
Raatz, U.: Eine Modifikation des White-Tests bei großen Stichproben. Biometrische Zeitschr. 8 (1966), 42–54 [vgl. auch Arch. ges. Psychol. 118 (1966), 86-92].
Reiter, S.: Estimates of bounded relative error for the ratio of variances of normal distributions. J. Amer. Statist. Assoc. 51 (1956), 481–488.
Rosenbaum, S.: (1) Tables for a nonparametric test of dispersion. Ann. Math. Statist. 24 (1953), 663–668.
Rosenbaum, S.: (2) Tables for a nonparametric test of location. Ann. Math. Statist. 25 (1954), 146–150.
Rosenbaum, S.: (3) On some two-sample non-parametric tests. J. Amer. Statist. Assoc. 60 (1965), 1118–1126.
Rytz, C.: Ausgewählte parameterfreie Prüfverfahren im 2-und k-Stichproben-Fall. Metrika 12 (1967), 189–204 und.
Rytz, C.: Ausgewählte parameterfreie Prüfverfahren im 2-und k-Stichproben-Fall. Metrika 13 (1968), 17–71.
Sachs, L.: Statistische Methoden. 5. neubearb. Aufl. (Springer, 124 S.) Berlin, Heidelberg, New York 1982, S. 52-55, 72 und 95-97.
Sandelius, M.: A graphical version of Tukey’s confidence interval for slippage. Technometrics 10 (1968), 193+194.
Saw, J. G.: A non-parametric comparison of two samples one of which is censored. Biometrika 53 (1966), 599–602 [vgl. auch 52 (1965), 203-223 und 56 (1969), 127-132].
Scheffé, H.: Practical solutions of the Behrens-Fisher problem. J. Amer. Statist. Assoc. 65 (1970), 1501–1508 [vgl. auch 66 (1971), 605-608 und J. Pfanzagl, Biometrika 61 (1974), 39-47, 647].
Scheffé, H., and Tukey, J.W.: Another Beta-Function Approximation. Memorandum Report 28, Statistical Research Group, Princeton University 1949.
Shorack, G.R.: Testing and estimating ratios of scale parameters. J. Amer. Statist. Assoc. 64 (1969), 999–1013.
Siegel, S.: Nonparametric Statistics for the Behavioral Sciences. New York 1956, p. 278.
Siegel, S., and Tukey, J. W.: A nonparametric sum of ranks procedure for relative spread in unpaired samples. J. Amer. Statist. Assoc. 55 (1960), 429–445.
Smirnoff, N. W.: (1) On the estimation of the discrepancy between empirical curves of distribution for two independent samples. Bull. Université Moskov. Ser. Internat., Sect A 2 (2) (1939), 3–8.
Smirnoff, N. W.: (2) Tables for estimating the goodness of fit of empirical distributions. Ann. Math. Statist. 19 (1948), 279–281.
Stammberger, A.: Über einige Nomogramme zur Statistik. (Fertigungstechnik und Betrieb 16 [1966], 260-263 oder) Wiss. Z. Humboldt-Univ. Berlin, Math.-Nat. R. 16 (1967), 86–93.
Sukhatme, P.V.: On Fisher and Behrens’s test of significance for the difference in means of two normal samples. Sankhya 4 (1938), 39–48.
Szameitat, K., und Koller, S.: Über den Umfang und die Genauigkeit von Stichproben. Wirtschaft u. Statistik 10 NF (1958), 10–16.
Szameitat, K., und K.-A. Schäffer: (1) Fehlerhaftes Ausgangsmaterial in der Statistik und seine Konsequenzen für die Anwendung des Stichprobenverfahrens. Allgemein. Statist. Arch. 48 (1964), 1–22.
Szameitat, K., und K.-A. Schäffer: (2) Kosten und Wirtschaftlichkeit von Stichprobenstatistiken. Allgem. Statist. Arch. 48 (1964), 123–146.
Szameitat, K., and R. Deininger: Some remarks on the problem of errors in statistical results. Bull. Int. Statist. Inst. 42, I (1969), 66–91 [vgl. 41, II (1966), 395-417 u. Allgem. Statist. Arch. 55 (1971), 290-303].
Thöni, H.P.: Die nomographische Lösung des t-Tests. Biometrische Zeitschr. 5 (1963), 31–50.
Thompson jr., W.A., and Endriss, J.: The required sample size when estimating variances. The American Statistician 15 (June 1961), 22+23.
Thompson, W.A., and Willke, T.A.: On an extreme rank sum test for outliers. Biometrika 50 (1963), 375–383 [vgl. auch J. Qual. Technol. 9 (1977), 38-41 u. 208].
Tiku, M.L.: Tables of the power on the F-test. J. Amer. Statist. Assoc. 62 (1967), 525–539 [vgl. auch 63 (1968), 1551 u. 66 (1971), 913-916 sowie 67 (1972), 709 + 710].
Trickett, W.H., Welch, B.L., and James, G.S.: Further critical values for the two-means problem. Biometrika 43 (1956), 203–205.
Tukey, J. W.: (1) A quick, compact, two-sample test to Duckworth’s specifications. Technometrics 1 (1959), 31–48.
(2) A survey of sampling from contaminated distributions. In I. Olkin and others (Eds.): Contributions to Probability and Statistics. Essays in Honor of Harold Hotelling. pp. 448-485, Stanford 1960.
Tukey, J. W.: (3) The future of data analysis. Ann. Math. Statist. 33 (1962), 1–67, 812.
Waerden, B. L., van der: Mathematische Statistik. 2. Aufl., Berlin-Heidelberg-New York 1965, S. 285/95, 334/5, 348/9 [vgl. X-Test Schranken: Math. Operat-forsch. u. Statist. 3 (1972), 389-400].
Walter, E.: Über einige nichtparametrische Testverfahren. Mitteilungsbl. Mathem. Statist. 3 (1951), 31–44 und 73-92.
Weiler, H.: A significance test for simultaneous quantal and quantitative responses. Technometrics 6 (1964), 273–285.
Weiling, F.: Die Mendelschen Erbversuche in biometrischer Sicht. Biometrische Zeitschr. 7 (1965), 230–262, S. 240.
Weir, J.B. de V.: Significance of the difference between two means when the population variances may be unequal. Nature 187 (1960), 438.
Weissberg, A., and Beatty, G. H.: Tables of tolerance-limit factors for normal distributions. Technometrics 2 (1960), 483–500 [vgl. auch J. Amer. Statist. Assoc. 52 (1957), 88-94 u. 64 (1969), 610-620 sowie Industrial Quality Control 19 (Nov. 1962), 27 + 28].
Welch, B. L.: (1) The significance of the difference between two means when the population variances are unequal. Biometrika 29 (1937), 350–361.
Welch, B. L.: (2) The generalization of “Student’s” problem when several different population variances are involved. Biometrika 34 (1947), 28–35.
Wenger, A.: Nomographische Darstellung statistischer Prüfverfahren. Mitt. Vereinig. Schweizer. Versicherungsmathematiker 63 (1963), 125–153.
Westlake, W. J.: A one-sided version of the Tukey-Duckworth test. Technometrics 13 (1971), 901–903.
Wilcoxon, F.: Individual comparisons by ranking methods. Biometrics 1 (1945), 80–83.
Wilcoxon, F., Katti, S.K., and Wilcox, Roberta A.: Critical Values and Probability Levels for the Wilcoxon Rank Sum Test and the Wilcoxon Signed Rank Test. Lederle Laboratories, Division Amer. Cyanamid Company, Pearl River, New York, August 1963.
Wilcoxon, F., Rhodes, L.J., and Bradley, R.A.: Two sequential two-sample grouped rank tests with applications to screening experiments. Biometrics 19 (1963), 58–84 (vgl. auch 20 [1964], 892).
Wilcoxon, F., and Wilcox, Roberta A.: Some Rapid Approximate Statistical Procedures. Lederle Laboratories, Pearl River, New York 1964.
Wilks, S.S.: (1) Determination of sample sizes for setting tolerance limits. Ann. Math. Statist. 12 (1941), 91–96 [vgl. auch The American Statistician 26 (Dec. 1972), 21].
Wilks, S.S.: (2) Statistical prediction with special reference to the problem of tolerance limits. Ann. Math. Statist. 13 (1942), 400–409.
Winne, D.: (1) Zur Auswertung von Versuchsergebnissen: Der Nachweis der Übereinstimmung zweier Versuchsreihen. Arzneim.-Forschg. 13 (1963), 1001–1006.
Winne, D.: (2) Zur Planung von Versuchen: Wieviel Versuchseinheiten? Arzneim.-Forschg. 18 (1968), 1611–1618.
Lehrbücher der Stichprobentheorie
Billeter, E.P.: Grundlagen der repräsentativen Statistik. Stichprobentheorie und Versuchsplanung. (Springer, 160 S.) Wien und New York 1970.
Cochran, W.G.: Sampling Techniques. 2nd ed., New York 1963 (Übersetzung erschien 1972 bei de Gruyter, Berlin und New York; 3rd. ed. 1977).
Conway, Freda: Sampling: An Introduction for Social Scientists. (G. Allen and Unwin, pp.154) London 1967.
Deming, W.E.: Sampling Design in Business Research. London 1960.
Desabie, J.: Théorie et Pratique des Sondages. Paris 1966.
Raj, D.: (1) Sampling Theory. (McGraw-Hill, pp.225) New York 1968.
(2) The Design of Sample Surveys. (McGraw-Hill, pp.416) New York 1972.
Hansen, M.H., Hurwitz, W.N., and Madow, W.G.: Sample Survey Methods and Theory. Vol. I and II (Wiley, pp.638, 332) New York 1964.
Kellerer, H.: Theorie und Technik des Stichprobenverfahrens. Einzelschriften d. Dtsch. Statist. Ges. Nr. 5, 3. Aufl., München 1963.
Kish, L.: Survey Sampling. New York 1965 [vgl. auch J. Roy. Statist. Soc. B 36 (1974), 1-37, A 139 (1976), 183-204 and Dalenius, T., Int. Stat. Rev. 45 (1977), 71-89, 181-197, 303-317].
Menges, G.: Stichproben aus endlichen Gesamtheiten. Theorie und Technik, Frankfurt/Main 1959.
Murthy, M.N.: Sampling Theory and Methods. (Statistical Publ. Soc., pp.684) Calcutta 1967.
Parten, Mildred: Surveys, Polls, and Samples: Practical Procedures. (Harper and Brothers, pp. 624) New York 1969 (Bibliography pp. 537/602 [vgl. auch Struening, E. L. and Marcia Guttentag (Eds.): Handbook of Evaluation Research. (Sage; pp.696) London 1975]).
Sampford, M.R.: An Introduction to Sampling Theory with Applications to Agriculture. London 1962.
Statistisches Bundesamt Wiesbaden (Hrsg.): Stichproben in der amtlichen Statistik. Stuttgart 1960 Stenger, H.: Stichprobentheorie. (Physica-Vlg., 228 S.) Würzburg 1971.
Stuart, A.: Basic Ideas of Scientific Sampling. (Griffin, pp.99) London 1969.
Sukhatme, P.V., and Sukhatme, B.V.: Sampling Theory of Surveys With Applications. 2nd rev. ed. (Iowa State Univ. Press; pp.452) Ames, Iowa 1970.
United Nations: A short Manual on Sampling. Vol. I. Elements of Sample Survey Theory. Studies in Methods Ser. F No. 9, rev. 1, New York 1972.
Yamane, T.: Elementary Sampling Theory. (Prentice-Hall, pp.405) Englewood Cliffs, N.J. 1967.
Zarkovich, S.S.: Sampling Methods and Censuses. (Fao, UN, pp.213) Rome 1965.
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Sachs, L. (1984). Der Vergleich unabhängiger Stichproben gemessener Werte. In: Angewandte Statistik. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-05748-3_6
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