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AP統(tǒng)計(jì)學(xué)考試內(nèi)容中都會(huì)涉及哪些考點(diǎn)呢?

本文出處:IB培訓(xùn) 發(fā)布時(shí)間:2020-07-29 14:41:05 字體大?。? A+ A-

 

  AP考試臨近,A加未來小編在本文中為大家整理了AP統(tǒng)計(jì)學(xué)考試中所涉及到的考點(diǎn)和重要知識點(diǎn),來看看AP統(tǒng)計(jì)學(xué)考試內(nèi)容都包括哪些吧!


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  第一部分:探索數(shù)據(jù)(Exploring Data)


  (1)建立與解釋圖表(Constructingand interpreting graphic displays of distributions of univariate data)


  點(diǎn)狀圖(Dotplot),莖葉圖(Stemplot),直方圖(Histogram),累計(jì)頻數(shù)圖(Cumulative FrequencyDistribution),盒式圖(Boxplot)


  中心與離散(Center andSpread),聚類與間隙(Cluster and Gap),極值(Outlier),形狀(Shape)


  (2)一元數(shù)據(jù)分布(Distributions of univariate data)


  均值與中位數(shù)(Mean and Median)


  極差,四分位距,方差與標(biāo)準(zhǔn)差(Range,Interquartile Range,Variance and Standard Deviation)


  四分位數(shù),百分位數(shù),Z值(Quartiles,Percentiles,Z-score)


  變換單位的影響(Effect of Changing Units)


  (3)數(shù)據(jù)分布比較(Comparing distributions of univariate data)


  比較中心,離散,聚類,間隙,極值與形狀(Comparingcenter,spread,clusters,gaps,outliers and shape)


  (4)二元數(shù)據(jù)(Bivariate data)


  散點(diǎn)圖,相關(guān)性與線性(Scatterplot,Correlation and Linearity)


  最小二乘回歸線(Least squares regression line)


  殘差圖,極值和強(qiáng)影響點(diǎn)(Residual plot,outliers,influential points)


  線性轉(zhuǎn)換(Transformations to achieve linearity)


  (5)分類數(shù)據(jù)(Categorical data)


  雙向表的邊際頻數(shù)和聯(lián)合頻數(shù)(Marginaland joint frequencies for two-way tables)


  相對條件頻數(shù)與關(guān)聯(lián)(Conditional relative frequencies and association)


  第二部分抽樣和實(shí)驗(yàn)設(shè)計(jì)(Sampling and experimentation)


  (6)數(shù)據(jù)收集的方法(Methods of data collection)


  普查,抽樣調(diào)查,觀察研究(Census,Sample survey,Observational study)


  實(shí)驗(yàn)(Experiment)


  (7)調(diào)查的規(guī)劃與實(shí)施(Planning and conducting surveys)


  設(shè)計(jì)合理且易于實(shí)施的調(diào)查的特征(Characteristicsof a well-designed and well-conducted survey)


  總體,樣本,隨機(jī)選擇(Populations,Samples,RandomSelection)


  調(diào)查中偏誤的來源(Sources of bias in sampling and surveys)


  隨機(jī)抽樣方法(Sampling methods)


  (8)實(shí)驗(yàn)的規(guī)劃與實(shí)施(Planning and conducting experiments)


  設(shè)計(jì)合理且易于實(shí)施的實(shí)驗(yàn)的特征(Characteristicsof a well-designed and well-conducted experiment)


  處理,對照組,實(shí)驗(yàn)單位,隨機(jī)分配,復(fù)制(Treatment,control group,experimental units,randomization,replication)


  安慰劑效應(yīng),盲法(Placebo effect,Blinding)


  完全隨機(jī)化設(shè)計(jì)(Completely randomized design)


  隨機(jī)分組設(shè)計(jì),包括配對設(shè)計(jì)(Randomized block design,including matched pairs design)


  結(jié)果的一般化(Generalizability of results)


  第三部分預(yù)測模式(Anticipating patterns)


  (9)概率(Probability)


  大數(shù)定理(Law of Large Numbers)


  加法法則(Addition rule),乘法法則(Multiplication rule),條件概率(ConditionalProbability),獨(dú)立(Independence)


  離散隨機(jī)變量及其概率分布,包括二項(xiàng)分布和幾何分布(Discrete random variables and their probability distributions,including binomial and geometric)


  隨機(jī)行為與概率分布的模擬(Simulationof random behavior and probability distributions)


  隨機(jī)變量的期望值與標(biāo)準(zhǔn)差(Mean andstandard deviation of a random variable)


  (10)整合獨(dú)立隨機(jī)變量(Combiningindependent random variables)


  獨(dú)立與非獨(dú)立(Independence and dependence)


  獨(dú)立隨機(jī)變量的和與差的平均值與標(biāo)準(zhǔn)差(Meanand standard deviation for sums and differences of independent randomvariables)


  (11)正態(tài)分布(Normaldistribution)


  正態(tài)分布的屬性(Properties of normal distribution)


  使用正態(tài)分布表(Using tables of normal distribution)


  正態(tài)分布作為衡量模型(Normaldistribution as a model for measurements)


  (12)抽樣分布(Sampling distribution)


  中心極限定理(Central Limit Theorem)


  樣本比例的抽樣分布(Sampling distribution of a sample proportion)


  樣本均值的抽樣分布(Sampling distribution of a sample mean)


  兩獨(dú)立樣本比例差的抽樣分布(Samplingdistribution of a difference between two independent sample proportions)


  兩獨(dú)立樣本均值差的抽樣分布(Samplingdistribution of a difference between two independent sample means)


  抽樣分布的模擬(Simulation of sampling distributions)


  t分布,卡方分布(T-distribution,Chi-square Distribution)


  第四部分統(tǒng)計(jì)推斷(Statistical Inference)


  (13)置信區(qū)間(ConfidenceInterval)


  置信區(qū)間的概念(Meaning of Confidence Interval)


  比例的置信區(qū)間(Confidence Interval for a Proportion)


  兩比例差的置信區(qū)間(ConfidenceInterval for a difference of Two Proportions)


  均值的置信區(qū)間(Confidence Interval for a Mean)


  兩均值差的置信區(qū)間,成對與不成對(Confidence Interval for a difference of Two Means,Paired andUnpaired)


  最小二乘回歸線斜率的置信區(qū)間(ConfidenceInterval for the Slope of a Least Squares Regression Line)


  (14)顯著性檢驗(yàn)(Tests ofsignificance)


  顯著性檢驗(yàn)的邏輯(Logic of significance testing)


  零假設(shè)與備擇假設(shè),P-值(Null and alternative hypothesis,P-value)


  單側(cè)檢驗(yàn)與雙側(cè)檢驗(yàn)(One-and two-sided test)


  第一類錯(cuò)誤與第二類錯(cuò)誤,顯著性檢驗(yàn)的效力(TypeI and Type II errors,Power of the test)


  比例的檢驗(yàn)(Large sample test for a proportion)


  兩比例差的檢驗(yàn)(Large sampletest for a difference between two proportions)


  均值的檢驗(yàn)(Test for a mean)


  兩均值差的檢驗(yàn),成對與不成對(Test for a difference between two means,paired and unpaired)


  最小二乘回歸線斜率的檢驗(yàn)(Test forthe slope of a least squares regression line)


  擬合度,比例齊性與獨(dú)立性的卡方檢驗(yàn)(Chi-squaretest for goodness of fit,independence,and homogeneity of proportions)


  以上就是A加小編關(guān)于AP統(tǒng)計(jì)學(xué)考試內(nèi)容的總結(jié),同學(xué)們可以將本文收藏起來作為考試備考中的參考,做好知識點(diǎn)的查漏補(bǔ)缺工作。如果在學(xué)習(xí)和備考中有什么問題,歡迎隨時(shí)咨詢我們!

本章來源:AP課程

課程類別:ap課程

本章標(biāo)題:AP統(tǒng)計(jì)學(xué)考試內(nèi)容中都會(huì)涉及哪些考點(diǎn)呢?

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