加拿大基于性别的收入不平等的统计调查
A Statistical Inquiry into Gender-Based Income Inequality in Canada
摘要：
社会群体之间的收入分配不平等一直是一个全球性挑战。本研究的重点是调查女性收入对家庭规模和购买力的潜在影响。运用简单线性回归、极大似然分析和假设检验等统计方法，我评估并调查了女性税前收入与家庭规模之间的差异。这项研究的结果表明，每增加一名家庭成员，平均购买力就会下降。此外，贝叶斯分析表明，税前收入比人口平均数高出至少一个和两个标准差的个人是女性的概率分别约为1/3和1/4，这进一步突出了加拿大基于性别的收入不平等。这项分析的结论是，虽然女性税前收入对家庭规模没有统计学意义的影响，但女性人均税前收入对家庭规模有统计学意义的影响。
英文摘要：
Income inequality distribution between social groups has been a global challenge. The focus of this study is to investigate the potential impact of female income on family size and purchasing power. Using statistical methods such as simple linear regression, maximum likelihood analysis, and hypothesis testing, I evaluated and investigated the variability of female pre-tax income with respect to family size. The results obtained from this study illustrate that for each additional household member, the average purchasing power decreases. Additionally, the Bayesian analysis indicates that the probability for an individual with a pre-tax income of at least one and two standard deviations above the population mean is female is approximately 1/3 and 1/4, respectively, further highlighting the gender-based income inequality in Canada. This analysis concludes that although female pre-tax income has no statistically significant impact on family size, the female pre-tax income per person has a statistically significant impact on family size.
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