📚 Year 12 WJEC Sociology: Quick Reference Handbook of Formulas and Theorems | WJEC 十二年级社会学：公式定理速查手册
Welcome to the Year 12 WJEC Sociology revision compendium. This quick-reference handbook gathers the essential statistical formulas and theoretical theorems you will need to apply in your examination. Whether you are analysing demographic changes, measuring social mobility or recalling classical sociological arguments, the bilingual entries below provide clear, exam-focused explanations.
欢迎使用WJEC十二年级社会学复习手册。本速查汇编了考试中你需要掌握的核心统计公式与理论定理。无论你正在分析人口变迁、测量社会流动还是回顾经典社会学论点，下文中的双语条目都为你提供了清晰且紧扣考点的阐释。
1. The General Rate Formula in Sociology | 社会学中的通用比率公式
Rates are fundamental in sociological research because they allow us to compare the frequency of social events across populations of different sizes. The basic structure of any rate is the number of events divided by the population at risk, multiplied by a standardising multiplier.
比率在社会学研究中至关重要，因为它让我们能够比较不同规模人口中社会事件的发生频率。任何比率的基本结构都是事件数量除以风险人口，再乘以一个标准乘数。
Rate = (Number of events / Population at risk) × Multiplier
The multiplier is usually 1,000 or 100,000, so that rates can be expressed as 'per 1,000 population' or 'per 100,000 population'. This avoids the use of awkward decimal points and facilitates direct comparison between countries or time periods.
乘数通常为 1,000 或 100,000，这样比率就可以表示成“每千人口”或“每十万人口”，从而避免繁琐的小数点，也便于在不同国家或时期之间进行直接比较。
2. Birth Rate, Death Rate and Natural Increase | 出生率、死亡率与自然增长率
Demographic measures are among the most frequently used quantitative tools in WJEC Sociology. The Crude Birth Rate (CBR) captures the number of live births occurring in a year per 1,000 individuals in the total mid-year population.
人口指标是WJEC社会学中最常用的量化工具之一。粗出生率（CBR）反映一年内每千名年中总人口中的活产婴儿数。
CBR = (Number of live births / Total mid-year population) × 1,000
Similarly, the Crude Death Rate (CDR) measures the annual number of deaths per 1,000 population.
类似地，粗死亡率（CDR）衡量每年每千人口中的死亡人数。
CDR = (Number of deaths / Total mid-year population) × 1,000
These two indicators are then used to compute the Natural Increase Rate (NIR), which indicates population growth excluding migration.
这两个指标随后被用来计算自然增长率（NIR），该指标反映剔除迁移因素后的人口增长。
NIR = CBR − CDR
A positive NIR signals natural population growth, while a negative NIR points to natural decline—a phenomenon observed in several post-industrial societies.
自然增长率为正表明人口自然增长，为负则意味着自然下降——这种现象已在若干后工业社会出现。
3. Marriage and Divorce Rates | 结婚率与离婚率
Family sociologists frequently use the Crude Marriage Rate (CMR) to examine trends in partnership formation. It expresses the number of marriages per 1,000 persons in the total population.
家庭社会学家经常使用粗结婚率（CMR）来考察伴侣关系形成的趋势，它表示每千人口中的结婚数量。
CMR = (Number of marriages / Total mid-year population) × 1,000
The Crude Divorce Rate (CDR) is constructed in an identical manner.
粗离婚率（CDR）以相同方式构建。
CDR = (Number of divorces / Total mid-year population) × 1,000
However, because the CMR and CDR are influenced by the age structure of the population, many sociologists prefer the divorce-to-marriage ratio. This indicator relates the number of divorces in a given year to the number of marriages in the same year, estimating the likelihood of marital dissolution.
然而，由于粗结婚率和粗离婚率受到人口年龄结构的影响，许多社会学家更青睐结婚离婚比。该指标将某一年份的离婚数与该年结婚数相联系，用于估算婚姻解体的可能性。
Divorce–rriage ratio = (Number of divorces in a year / Number of marriages in the same year) × 100
4. Crime Rate and Victimisation Rate | 犯罪率与受害率
The crime rate is the standard way to monitor offending patterns. It is typically expressed per 1,000 or 100,000 residents to allow meaningful comparisons across police force areas.
犯罪率是监测犯罪模式的标准方式，通常表为每千人或每十万居民，以便在不同警区之间进行有意义的比较。
Crime Rate = (Number of recorded crimes / Total population) × 1,000 (or 100,000)
Official crime statistics, however, undercount offences that are not reported. The victimisation rate—constructed from surveys such as the Crime Survey for England and Wales—offers an alternative picture by calculating the percentage of respondents who report having been victims of crime in the preceding twelve months.
然而官方犯罪统计数据会漏记未被报案的犯罪行为。受害率——基于诸如英格兰与威尔士犯罪调查等构建——提供了另一幅画面，它计算的是过去十二个月中自称曾遭受犯罪侵害的受访者百分比。
Victimisation Rate = (Number of victims / Total survey respondents) × 100
5. Social Mobility Measurements | 社会流动测量
Studies of stratification often rely on two types of mobility measures. Absolute social mobility records the proportion of individuals who end up in a different social class from their parents, capturing the overall fluidity of the class structure.
社会分层研究常依赖两类流动测量。绝对社会流动记录的是与父母处于不同社会阶级的个人比例，用于把握阶级结构的整体流动度。
olute Mobility Rate = (Individuals in a different class from parents / Total sample) × 100
Relative social mobility is more complex and is usually expressed as an odds ratio. It compares the chances of social ascent or descent between two origin classes.
相对社会流动更为复杂，通常以优势比表示。它比较两个出身阶级之间社会上升或下降的机会大小。
OR = (A × D) / (B × C)
greater than 1 indicates that the first group enjoys a relative advantage in mobility chances.
此处的 A、B、C、D 是 2×2 流动表中的单元格频数。优势比大于 1 表示第一组在流动机会上占有相对优势。
6. Measures of Central Tendency and Dispersion | 集中趋势与离散量数
Sociologists summarise quantitative data with three main measures of central tendency. The mean (arithmetic average) is the most familiar but can be distorted by extreme values.
社会学家用三种主要集中趋势量数来概括定量数据。均值（算术平均数）最为人熟知，但易受极端值影响。
μ = Σx / n
The median is the middle score in a ranked distribution and is often preferred when data are skewed. The mode is simply the value that appears most often.
中位数是排序分布中的居中数值，在数据偏斜时往往更受青睐。众数则是出现次数最多的那个值。
To describe how spread out the values are, sociologists calculate the standard deviation (σ). It gives the average distance of each data point from the mean.
为了描述数值的分散程度，社会学家会计算标准差（σ），它表示每个数据点与均值之间的平均距离。
σ = √[ Σ(x − μ)² / n ]
7. Sampling Error and Confidence Interval | 抽样误差与置信区间
When sociologists work with a sample rather than a full census, they must estimate the likely error. The standard error of a proportion quantifies the precision of a sample estimate.
当社会学家使用样本而非全面普查时，就必须估计可能存在的误差。比例的标准误可以量化样本估计值的精确度。
SE = √[ p × (1 − p) / n ]
The 95% confidence interval then gives the range within which the true population proportion is likely to lie with 95% certainty.
95% 置信区间则给出了真实总体比例有 95% 把握落入的范围。
CI = p ± 1.96 × SE
In these formulas, p is the sample proportion and n is the sample size. A larger sample reduces the standard error and narrows the confidence interval.
在这些公式中，p 代表样本比例，n 代表样本量。样本量越大，标准误越小，置信区间也越窄。
8. Marx's Historical Materialism | 马克思的历史唯物主义
Karl Marx's foundational theorem argues that the material base of society—comprising the forces of production and the relations of production—ultimately conditions the non-material superstructure of laws, politics and ideology. The historical dynamic, according to this view, is driven by class conflict between the bourgeoisie, who own the means of production, and the proletariat, who sell their labour.
卡尔·马克思的根本定理认为，由生产力与生产关系构成的社会物质基础，最终制约着法律、政治与意识形态等非物质的上层建筑。根据这一观点，历史动力源自拥有生产资料的资产阶级与出卖劳动力的无产阶级之间的阶级冲突。
Base → Superstructure
Examination questions often expect you to apply this theorem to issues such as the hidden curriculum in education or the ideological functions of the family under capitalism.
考试题目常要求你将这一定理应用于诸如教育中的隐性课程或资本主义下家庭的意识形态功能等问题。
9. Durkheim's Social Facts and Anomie | 涂尔干的社会事实与失范
Emile Durkheim's key contribution is the concept of social facts—manners of acting, thinking and feeling that exist outside the individual but exert a coercive influence. He demonstrated this theorem through his seminal study of suicide, showing that even the most personal act is shaped by social integration and moral regulation.
埃米尔·涂尔干的关键贡献是社会事实这一概念——存在于个体之外却施加强制影响的行动、思维与感受方式。他通过其开创性的自杀研究证明了这一定理，表明即便是最个人化的行为也受社会整合和道德规制的塑造。
When norms become unclear or break down, a condition of anomie arises. Anomie leads to a mismatch between individual aspirations and the legitimate means available to achieve them, which can result in deviant behaviour.
当规范变得模糊不清或崩溃时，便会出现失范状态。失范导致个人抱负与可用的合法手段之间脱节，从而可能引发越轨行为。
10. Weber's Protestant Ethic and Spirit of Capitalism | 韦伯的新教伦理与资本主义精神
Max Weber offered a contrasting theorem to Marx: ideas themselves can shape economic structures. He argued that the 'Protestant ethic'—a set of ascetic values emphasising hard work, thrift and deferment of gratification—gave birth to the 'spirit of capitalism', a rational and methodical pursuit of profit.
马克斯·韦伯提出了与马克思形成对照的定理：观念本身也可以塑造经济结构。他认为“新教伦理”——一套强调勤劳、节俭和延迟享乐的禁欲价值——催生了“资本主义精神”，也就是一种理性而有条理的逐利方式。
This theorem does not deny economic factors but insists on the independent causal power of cultural meanings, a perspective frequently required in WJEC essays evaluating structural versus cultural explanations.
这一定理并不否认经济因素，而是强调文化意义的独立因果力，这种视角在评价结构性解释与文化性解释的WJEC论文中经常需要用到。
11. Becker's Labelling Theory | 贝克尔的标签理论
Howard Becker's interactionist theorem reconceptualises deviance. It proposes that deviance is not inherent in any particular act; instead, social groups create deviance by making rules whose infraction constitutes a deviant label. The application of the label can then lead to a self-fulfilling prophecy, as the labelled individual internalises the deviant identity and adopts it as a master status.
霍华德·贝克尔互动论定理重新概念化了越轨。该定理认为越轨并非特定行为所固有；相反，社会群体通过制定规则创造了越轨，违反规则便构成了越轨标签。标签的施用可导致自证预言，因为被标签者会内化越轨身份并将其接纳为主要身份。
WJEC questions on education or crime frequently invite candidates to apply labelling theory to phenomena such as teacher expectations, banding and stereotyping.
WJEC中关于教育或犯罪的题目经常要求考生将标签理论应用于教师期望、分班和刻板印象等现象。
12. Oakley's Conventional Family Roles | 奥克利的传统家庭角色
Ann Oakley's feminist theorem challenges the functionalist assumption that segregated instrumental (male) and expressive (female) roles are biologically necessary for family stability. Through historical and empirical research, Oakley demonstrated that the housewife role is a social construction of industrial capitalism, not a natural arrangement.
安·奥克利的女性主义定理挑战了功能主义的假设，即工具型（男性）与表达型（女性）角色的隔离对于家庭稳定而言是生物性的必然。通过历史与实证研究，奥克利证明主妇角色是工业资本主义的社会建构，而非自然安排。
She further argued that the persistence of the dual burden—where women undertake paid work while retaining primary responsibility for domestic labour and childcare—serves to maintain patriarchal power structures. This theorem remains central to WJEC discussions of domestic division of labour and power relations in the family.
她还主张，双重负担的持续存在——女性从事有偿工作却仍承担家务劳动和育儿的主要责任——有助于维持父权权力结构。这一定理仍是WJEC讨论家庭内部劳动分工和权力关系的核心内容。
Published by TutorHao | Year 12 社会学 Revision Series | aleveler.com 更多咨询请联系16621398022（同微信）
或截图后用「扫一扫 → 相册」选择本图