射程的系统误差对检验统计量的干扰分析
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摘要
为了分析射程检验理论中存在的缺陷,根据系统误差与射程真值的关系,推导了系统误差在检验统计量中的传递方式,得到了检验统计量中存在的系统误差的干扰项,建立了包含误差干扰的统计量计算式。计算结果表明,样本量越大则系统误差干扰越大,增大样本量能引起检验结论变为拒绝原假设。在计算多种样本量、多种系统误差幅度的抽样结果的检验统计量值的基础上进行对比分析,结果表明:样本量越大则系统误差产生的干扰越强;假设检验仅能在样本量较小的时候谨慎应用,并且在应用中必须关注系统误差的幅度及其产生的干扰的强度。
In order to analyze the defects in the theory of firing range test,the transfer mode of system error in test statistics was deduced according to the relationship between system error and true firing range value,and the interference terms of systematic errors in test statistics were obtained. The statistical formulas including error disturbances were established. The larger the sample size,the greater the disturbance of system error. When the sample size increases,the test conclusion can turn to rejecting the original hypothesis. The statistical results of sampling of a variety of a sample quantities and a variety of system error ranges were calculated,and the results were compared. The result shows that the greater the sample size is,the stronger the disturbance produced by the system error. The hypothesis testing theory can be used carefully when the sample size is only small. It is necessary to pay attention to the magnitude of system error and the intensity of the interference in the application of hypothesis test.
In order to analyze the defects in the theory of firing range test,the transfer mode of system error in test statistics was deduced according to the relationship between system error and true firing range value,and the interference terms of systematic errors in test statistics were obtained. The statistical formulas including error disturbances were established. The larger the sample size,the greater the disturbance of system error. When the sample size increases,the test conclusion can turn to rejecting the original hypothesis. The statistical results of sampling of a variety of a sample quantities and a variety of system error ranges were calculated,and the results were compared. The result shows that the greater the sample size is,the stronger the disturbance produced by the system error. The hypothesis testing theory can be used carefully when the sample size is only small. It is necessary to pay attention to the magnitude of system error and the intensity of the interference in the application of hypothesis test.
引文
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