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A multivariate approach to determine sample size for morphological characterization of pepper fruits

机译:确定辣椒果实形态特征的样本量的多变量方法

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In chilli pepper, the calculation of the effective or minimum sample size can minimize costs with characterization. In order to determine the effective sample size, a general multivariate statistical method consisting of resampling subsamples from a reference sample is presented. Data from a field experiment involving eight accessions of Capsicum pepper are used to illustrate the method. Six response variables relating to morphological characterization of fruits were analyzed: mean weight, peduncle length, fruit length, largest diameter, lowest diameter, pericarp thickness. The reference sample consisted of the vector of scores of the first principal component, thus representing 30 observations on the 6 morphological variables. Through the percentile bootstrap method, a 99% confidence interval was created for two parameters: mean and standard deviation of the reference sample, which was then resampled with replacement, creating 500 subsamples of sizes ranging from 2 to 29. Afterwards, we estimated both mean and standard deviation for each subsample of each size. The proportion of estimates outside their respective confidence interval was computed. We also compared the results of the multivariate approach with its univariate form. The multivariate approach has taken into account the correlations among the response variables and was more efficient than the univariate form. A sample containing 22 fruits is considered suitable for estimating the mean of pepper fruit traits, whereas 24 fruits should be enough to estimate the standard deviation.
机译:在辣椒中,有效或最小样本量的计算可以最大程度地降低表征成本。为了确定有效样本量,提出了一种通用的多元统计方法,该方法包括对参考样本中的子样本进行重采样。使用涉及八种辣椒的田间试验的数据来说明该方法。分析了与水果形态特征相关的六个响应变量:平均重量,花序长,果实长度,最大直径,最小直径,果皮厚度。参考样品由第一主要成分的分数矢量组成,因此代表了对6种形态变量的30次观察。通过百分位数自举法,为两个参数创建了99%的置信区间:参考样本的均值和标准偏差,然后通过替换对其进行重新采样,从而创建了500个子样本,大小范围为2至29。随后,我们估计了两个均值以及每个大小的每个子样本的标准差。计算超出其各自置信区间的估计比例。我们还比较了多元方法与单变量形式的结果。多元方法考虑了响应变量之间的相关性,并且比单变量形式更有效。包含22个水果的样本被认为适合于估计胡椒水果性状的平均值,而24个水果应该足以估计标准偏差。

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