Studies of Statistical Techniques to Evaluate Weather Modification

Operational cloud seeding projects, those designed to produce a desired change in the weather and that are non-experimental in nature, continue to be pursued widely in the United States. Evaluation of such projects is now recognized as having scientific benefits. This 2-year study addressed various techniques and statistical methods to perform evaluations and to learn more about how to modify weather. Through simulated changes in weather conditions, some of the most promising techniques were compared. It was determined that the principal component regression technique was the most powerful evaluation method under more circumstances than others. If a small increase (10% or so) of precipitation is expected, one should opt for multi-responses permutation procedures. If the expected effects of seeding are non-constant, use of simple non-parametric tests will yield higher powers. Several operational projects were selected for testing in the project. The use of synoptic weather information in evaluating two large-area projects, the Muddy Road aircraft seeding project and a project in northwestern Oklahoma using ground generators, helps delineate the seeding effects of these two programs. Efforts using historical data in evaluating a number of operational projects serve the purpose of testing the findings from the simulation studies, and the results are generally consistent. Various relevant issues examined during the project appear in this report. They include study of statistical bases for using historical data in evaluations; the potential biases in the evaluation process; and the combination of several tests of significance.

[1]  R. Littell,et al.  Confidence Regions Based on Methods of Combining Test Statistics , 1981 .

[2]  Chin-Fei Hsu An Annotated Bibliography on the Evaluation and Statistical Issues of Weather Modification , 1981 .

[3]  On The Distribution of Statistics Suitable for Evaluating Rainfall Stimulation Experiments , 1969 .

[4]  Allan Birnbaum,et al.  Combining Independent Tests of Significance , 1954 .

[5]  J. Neumann,et al.  The Second Israeli Randomized Cloud Seeding Experiment: Evaluation of the Results , 1981 .

[6]  The management of weather resources. , 1978, Science.

[7]  P. Mielke,et al.  Climax I and II: Distortion Resistant Residual Analyses , 1982 .

[8]  Paul W. Mielke,et al.  On asymptotic non-normality of null distributions of mrpp statistics , 1979 .

[9]  E. E. Adderley Non-Parametric Methods of Analysis Applied to Large-Scale Cloud-Seeding Experiments. , 1961 .

[10]  Chin-Fei Hsu,et al.  Statistical Techniques and Key Issues for the Evaluation of Operational Weather Modification , 1981 .

[11]  G. Brier,et al.  A Statistical Reanalysis of the Replicated Climax I and II Wintertime Orographic Cloud Seeding Experiments. , 1981 .

[12]  P. Mielke,et al.  Application of multi‐response permutation procedures and median regression for covariate analyses of possible weather modification effects on hail responses , 1983 .

[13]  H. Riedwyl,et al.  Graphical Representation of Multivariate Data by Means of Asymmetrical Faces , 1981 .

[14]  F. Huff The effect of natural rainfall variability in verification of rain modification experiments , 1966 .

[15]  J. Hemelrijk,et al.  Some remarks on the combination of independent tests , 1953 .

[16]  Roscoe R. Braham Field Experimentation in Weather Modification , 1979 .

[17]  J. Oosterhoff Combination of one-sided statistical tests , 1969 .

[18]  Stanley A. Changnon,et al.  Summary of Report on Criteria for Weather Modification Operations and Effective Evaluation , 1980 .

[19]  M. Kendall Statistical Methods for Research Workers , 1937, Nature.

[20]  D. F. Morrison,et al.  Multivariate Statistical Methods , 1968 .

[21]  T. M. Williams,et al.  Optimizing Methods in Statistics , 1981 .

[22]  Chin-Fei Hsu,et al.  Using Historical Data to Evaluate Two Large-area Operational Seeding Projects , 1984 .

[23]  Michael D. Perlman,et al.  Combining Independent Chi-Squared Tests , 1978 .

[24]  S. A. Changnon,et al.  Piggyback Weather Experimentation: Superimposing Randomized Treatment Comparisons on Commercial Cloud Seeding Operations , 1982 .

[25]  Kenneth J. Berry,et al.  Multi-response permutation procedures for a priori classifications , 1976 .

[26]  Michael A. Stoto,et al.  Exploratory Methods for Choosing Power Transformations , 1982 .

[27]  Chin-Fei Hsu,et al.  Evaluation of the Power of Rerandomization Tests, with Application to Weather Modification Experiments , 1983 .