统计学是AP课程学习中非常热门的一门学科,并且适用性非常广泛,经济、生物、社会学等诸多热门专业都对学生统计学基础非常看重。那么AP统计学考什么呢?下面A加未来小编就带大家来了解一下AP统计学考点以及设计到的考试内容,希望对大家有所帮助。
第一部分:探索数据(Exploring Data)
(1)建立与解释图表(Constructingand interpreting graphic displays of distributions of univariate data)
点状图(Dotplot),茎叶图(Stemplot),直方图(Histogram),累计频数图(Cumulative FrequencyDistribution),盒式图(Boxplot)
中心与离散(Center andSpread),聚类与间隙(Cluster and Gap),极值(Outlier),形状(Shape)
(2)一元数据分布(Distributions of univariate data)
均值与中位数(Mean and Median)
极差,四分位距,方差与标准差(Range,Interquartile Range,Variance and Standard Deviation)
四分位数,百分位数,Z值(Quartiles,Percentiles,Z-score)
变换单位的影响(Effect of Changing Units)
(3)数据分布比较(Comparing distributions of univariate data)
比较中心,离散,聚类,间隙,极值与形状(Comparingcenter,spread,clusters,gaps,outliers and shape)
(4)二元数据(Bivariate data)
散点图,相关性与线性(Scatterplot,Correlation and Linearity)
最小二乘回归线(Least squares regression line)
残差图,极值和强影响点(Residual plot,outliers,influential points)
线性转换(Transformations to achieve linearity)
(5)分类数据(Categorical data)
双向表的边际频数和联合频数(Marginaland joint frequencies for two-way tables)
相对条件频数与关联(Conditional relative frequencies and association)
第二部分抽样和实验设计(Sampling and experimentation)
(6)数据收集的方法(Methods of data collection)
普查,抽样调查,观察研究(Census,Sample survey,Observational study)
实验(Experiment)
(7)调查的规划与实施(Planning and conducting surveys)
设计合理且易于实施的调查的特征(Characteristicsof a well-designed and well-conducted survey)
总体,样本,随机选择(Populations,Samples,RandomSelection)
调查中偏误的来源(Sources of bias in sampling and surveys)
随机抽样方法(Sampling methods)
(8)实验的规划与实施(Planning and conducting experiments)
设计合理且易于实施的实验的特征(Characteristicsof a well-designed and well-conducted experiment)
处理,对照组,实验单位,随机分配,复制(Treatment,control group,experimental units,randomization,replication)
安慰剂效应,盲法(Placebo effect,Blinding)
完全随机化设计(Completely randomized design)
随机分组设计,包括配对设计(Randomized block design,including matched pairs design)
结果的一般化(Generalizability of results)
第三部分预测模式(Anticipating patterns)
(9)概率(Probability)
大数定理(Law of Large Numbers)
加法法则(Addition rule),乘法法则(Multiplication rule),条件概率(ConditionalProbability),独立(Independence)
离散随机变量及其概率分布,包括二项分布和几何分布(Discrete random variables and their probability distributions,including binomial and geometric)
随机行为与概率分布的模拟(Simulationof random behavior and probability distributions)
随机变量的期望值与标准差(Mean andstandard deviation of a random variable)
(10)整合独立随机变量(Combiningindependent random variables)
独立与非独立(Independence and dependence)
独立随机变量的和与差的平均值与标准差(Meanand standard deviation for sums and differences of independent randomvariables)
(11)正态分布(Normaldistribution)
正态分布的属性(Properties of normal distribution)
使用正态分布表(Using tables of normal distribution)
正态分布作为衡量模型(Normaldistribution as a model for measurements)
(12)抽样分布(Sampling distribution)
中心极限定理(Central Limit Theorem)
样本比例的抽样分布(Sampling distribution of a sample proportion)
样本均值的抽样分布(Sampling distribution of a sample mean)
两独立样本比例差的抽样分布(Samplingdistribution of a difference between two independent sample proportions)
两独立样本均值差的抽样分布(Samplingdistribution of a difference between two independent sample means)
抽样分布的模拟(Simulation of sampling distributions)
t分布,卡方分布(T-distribution,Chi-square Distribution)
第四部分统计推断(Statistical Inference)
(13)置信区间(ConfidenceInterval)
置信区间的概念(Meaning of Confidence Interval)
比例的置信区间(Confidence Interval for a Proportion)
两比例差的置信区间(ConfidenceInterval for a difference of Two Proportions)
均值的置信区间(Confidence Interval for a Mean)
两均值差的置信区间,成对与不成对(Confidence Interval for a difference of Two Means,Paired andUnpaired)
最小二乘回归线斜率的置信区间(ConfidenceInterval for the Slope of a Least Squares Regression Line)
(14)显著性检验(Tests ofsignificance)
显著性检验的逻辑(Logic of significance testing)
零假设与备择假设,P-值(Null and alternative hypothesis,P-value)
单侧检验与双侧检验(One-and two-sided test)
第一类错误与第二类错误,显著性检验的效力(TypeI and Type II errors,Power of the test)
比例的检验(Large sample test for a proportion)
两比例差的检验(Large sampletest for a difference between two proportions)
均值的检验(Test for a mean)
两均值差的检验,成对与不成对(Test for a difference between two means,paired and unpaired)
最小二乘回归线斜率的检验(Test forthe slope of a least squares regression line)
拟合度,比例齐性与独立性的卡方检验(Chi-squaretest for goodness of fit,independence,and homogeneity of proportions)
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