用蒙特卡罗模拟确定刨花板MOR测量样本大小的方法

IF 0.1 4区 农林科学 Q4 MATERIALS SCIENCE, PAPER & WOOD Mokuzai Gakkaishi Pub Date : 2020-01-25 DOI:10.2488/jwrs.66.1
H. Korai, Ken Watanabe
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引用次数: 0

摘要

为了测量刨花板的断裂模量(MOR),提出了一种确定试样尺寸的方法。首先,测量大量样本的MOR。对实测MORs进行蒙特卡罗模拟,计算出10000个样本均值,并分析了样本容量与样本均值之间的关系。当样本量为15时,10000个样本均值中有9605个样本均值在95%置信区间内。因此,将样本量设为15,均值在区间内出现的概率非常高,为96.05%。接下来,计算9605个样本均值的5点、10点、20点、30%点,分别在样本量为10、8、4、2时达到95%置信区间。例如,当样本量为2时,均值在区间内出现的概率就比较高,为67.55%。由于一般方法计算的样本量为28,因此我们的方法可以显著减少样本量。(cid:9487)(cid:9513)(cid:9533)(cid:9531)(cid:9523)(cid:9526)(cid:9512)(cid:9527):刨花板,破裂模量,样本大小,蒙特卡罗模拟,95%置信区间。
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Method for Determining Sample Size to Measure MOR of Particleboard Using Monte Carlo Simulation
To measure the modulus of rupture (MOR) of particleboard, a method for determining sample size was developed. First, the MOR of a large number of samples was measured. A total of 10000 sample means were calculated by applying Monte Carlo simulations to the measured MORs, and relationships between sample size and sample mean were analyzed. When the sample size was 15, 9605 sample means among the 10000 sample means were within in the 95% confidence interval. As a result, the sample size was set at 15, and the probability of means occurring within the interval was very high, i.e., 96.05%. Next, the 5, 10, 20, and 30% points of the 9605 sample means were calculated, which reached the 95% confidence interval when the sample sizes were 10, 8, 4, and 2, respectively. For example, when the sample size was 2, the probability of means occurring within the interval was relatively high, i.e., 67.55%. Because the general method calculated a sample size of 28, our method could markedly decrease the sample size. (cid:9487)(cid:9513)(cid:9533)(cid:9531)(cid:9523)(cid:9526)(cid:9512)(cid:9527) : particleboard, modulus of rupture, sample size, Monte Carlo simulation, 95% confidence interval.
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来源期刊
Mokuzai Gakkaishi
Mokuzai Gakkaishi 工程技术-材料科学:纸与木材
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发文量
20
审稿时长
>12 weeks
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