EXCEL 활용 통계학
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- 2023-12-07
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책소개
이번 개정판을 손질하는 데 있어서 4차 산업혁명에 관한 내용과 빅데이터가 통계학의 여러 분야에 미치는 영향에 관한 내용을 보완하였다. 통계문제를 푸는 데는 Excel의 활용이 중요하다. 이제는 손 사용 문제풀이 다음에 바로 Excel 활용문제풀이를 연속함으로써 두 가지 방법을 동시에 공부할 수 있도록 하였다.
저자소개
서울대학교 상과대학 경제학과, University of Nebraska 대학원(경제학석사), University of Nebraska 대학원(경영학박사, Ph.D.) 졸업, 한국산업은행 조사부 근무.
아주대학교 경영대학 부교수, 한국경영학회 이사, 한국경영과학회 이사, 성균관대학교 경영학부 교수 역임.
목차
제1 장 통계학의 이해1.1 통계학의 의미 ······························································································· 31.2 통계학의 분류 ······························································································· 41.3 모집단과 표본 ······························································································· 71.4 데이터 마이닝 ····························································································· 134차 산업혁명 _ 13빅데이터 _ 15비즈니스 분석론 _ 16인공지능 _ 19데이터 마이닝 _ 20▶ 연습문제 ········································································································· 22제2 장 기술통계학Ⅰ：데이터의 정리 및 표현2.1 데이터의 종류 ····························································································· 27범주 데이터와 수치 데이터 _ 28이산 데이터와 연속 데이터 _ 29단변수 데이터와 다변수 데이터 _ 302.2 측정척도의 형태 ························································································· 32명목척도 _ 32서열척도 _ 33구간척도 _ 34비율척도 _ 342.3 도수분포표 ·································································································· 36기본 개념 _ 36도수분포표의 그래프 _ 372.4 범주 데이터의 정리 ···················································································· 37도수분포표 _ 37도수분포표의 그래프 _ 402.5 수치 데이터의 정리：이산 데이터 ····························································· 45도수분포표 _ 45도수분포표의 그래프 _ 462.6 수치 데이터의 정리：연속 데이터 ····························································· 47도수분포표의 그래프 _ 502.7 EXCEL 활용 ································································································ 53▶ 연습문제 ········································································································· 64제3장 기술통계학Ⅱ：요약통계량3.1 중심경향의 측정치 ······················································································ 73산술평균 _ 74중앙치 _ 75최빈치 _ 76평균, 중앙치, 최빈치의 비교 _ 773.2 산포의 측정치 ····························································································· 78범위 _ 80중간범위 _ 81평균절대편차 _ 82분산과 표준편차 _ 83Chebyshev의 정리 _ 88변동계수 _ 903.3 상대위치의 측정치 ······················································································ 91백분위수 _ 92사분위수 _ 93Z 값 _ 943.4 형태의 측정치 ····························································································· 97비대칭도 _ 97첨도 _ 993.5 EXCEL 활용 ·······························································································100▶ 연습문제 ········································································································108제4장 확률이론4.1 사상과 표본공간 ························································································1134.2 집합이론 ····································································································118집합의 개념 _ 118집합의 종류 _ 1194.3 확률의 정의 ·······························································································124고전적 방법 _ 125상대도수 방법 _ 125주관적 방법 _ 1274.4 확률의 공리 ·······························································································1274.5 확률의 연산법칙 ························································································129덧셈법칙 _ 129조건확률 _ 132곱셈법칙 _ 1404.6 Bayes 정리 ································································································142개념 _ 142표의 이용 _ 1444.7 EXCEL 활용 ·······························································································146▶ 연습문제 ········································································································147제5장 확률변수와 확률분포5.1 확률변수 ····································································································1555.2 확률분포 ····································································································157이산확률분포 _ 158연속확률분포 _ 1605.3 확률함수 ····································································································161확률질량함수 _ 162확률밀도함수 _ 1645.4 확률변수의 기대값과 분산 ·········································································167기대값의 의미 _ 167기대값의 특성 _ 168분산 _ 1695.5 결합확률분포 ·····························································································173결합확률분포의 개념 _ 173조건확률 _ 175두 변수의 독립성 _ 1765.6 공분산과 상관계수 ·····················································································177공분산 _ 177상관계수 _ 1795.7 EXCEL 활용 ·······························································································180▶ 연습문제 ········································································································184제6장 확률분포Ⅰ：이산확률분포6.1 베르누이 시행 ····························································································1916.2 이항분포 ····································································································192이항 확률질량함수의 이용 _ 193이항확률표의 이용 _ 1956.3 이항분포의 형태 ························································································1976.4 이항분포의 기대값과 분산 ·········································································1996.5 포아송분포 ·································································································202개념 _ 202포아송 확률질량함수의 이용 _ 203포아송 분포표의 이용 _ 2046.6 초기하분포 ·································································································206개념 _ 206초기하분포의 확률질량함수 _ 2076.7 EXCEL 활용 ·······························································································209▶ 연습문제 ········································································································211제7장 확률분포Ⅱ：연속확률분포7.1 확률밀도함수 ·····························································································2177.2 정규분포 ····································································································219정규분포의 사용 _ 219정규곡선의 형태 _ 219정규곡선의 특성 _ 2207.3 표준정규분포 ·····························································································224정의 _ 224표준정규분포표의 이용 _ 230정규분포의 응용 예 _ 2387.4 이항분포의 정규근사 ·················································································2417.5 지수분포 ····································································································243개념 _ 243지수분포의 확률 _ 2457.6 EXCEL 활용 ·······························································································247▶ 연습문제 ········································································································252제8장 표본분포8.1 표본추출 ····································································································259표본조사의 필요성 _ 259표본오차와 비표본오차 _ 2608.2 표본추출 과정 ····························································································2628.3 표본추출 방법 ····························································································263확률 추출방법 _ 264비확률 추출방법 _ 2668.4 표본분포 ····································································································2668.5 평균의 표본분포：복원추출 ······································································269개념 _ 269평균의 표본분포의 기대값과 분산 _ 273평균의 표준오차 _ 2758.6 평균의 표본분포：비복원추출 ··································································2778.7 중심극한정리 ·····························································································281표본크기의 영향 _ 281모집단이 정규분포를 따를 때 _ 282모집단이 정규분포를 따르지 않을 때 _ 2848.8 비율의 표본분포 ························································································287개념 _ 287비율의 표본분포의 기대값과 표준편차 _ 289이항분포의 정규근사 _ 292유한 모집단에서의 표본비율의 표준편차 _ 2938.9 EXCEL 활용 ·······························································································294▶ 연습문제 ········································································································298제9장 통계적 추정：한 모집단9.1 점추정과 구간추정 ·····················································································3059.2 추정량의 결정기준 ·····················································································306불편성 _ 307효율성 _ 308일관성 _ 309충족성 _ 3109.3 신뢰구간 추정 ····························································································311개념 _ 311오차율 _ 3139.4 모평균의 신뢰구간 ·····················································································314모표준편차를 아는 경우 _ 314모표준편차를 모르는 경우：소표본 _ 3209.5 t 분포 ·········································································································320모표준편차를 모르는 경우：대표본 _ 3279.6 모비율의 신뢰구간 ·····················································································3299.7 표본크기 결정 ····························································································331모평균 추정 _ 331모비율 추정 _ 3349.8 모분산의 신뢰구간 ·····················································································336χ2 분포의 특성 _ 337모분산의 신뢰구간 _ 3419.9 EXCEL 활용 ·······························································································344▶ 연습문제 ········································································································348제10장 가설검정：한 모집단10.1 가설검정 ····································································································355가설의 의미와 종류 _ 355가설의 설정 _ 356가설의 형태 _ 358가설검정의 오류 _ 360결정규칙 _ 362가설검정의 순서 _ 36610.2 모평균의 가설검정 ·····················································································367모표준편차를 아는 경우 _ 368모표준편차를 모르는 경우 _ 37810.3 모비율의 가설검정 ·····················································································38310.4 모분산의 가설검정 ·····················································································38710.5 EXCEL 활용 ·······························································································390▶ 연습문제 ········································································································395제11장 통계적 추정과 가설검정：두 모집단11.1 표본의 독립성과 종속성 ············································································40311.2 두 표본평균 차이의 표본분포 ····································································40411.3 두 모평균 차이에 대한 추정과 검정 ··························································406독립표본 _ 406대응표본 _ 41411.4 두 모비율 차이에 대한 추정과 검정 ··························································41811.5 두 모분산 비율에 대한 추정과 검정 ··························································423F 분포 _ 423두 모분산 비율의 추정 _ 427두 모분산 비율의 검정 _ 42811.6 EXCEL 활용 ·······························································································431▶ 연습문제 ········································································································438제12장 분산분석12.1 분산분석의 의미 ························································································44712.2 실험설계의 기본 개념 ················································································44812.3 분산분석의 기본 원리 ················································································45012.4 일원배치법：반복 수가 같은 경우 ····························································45212.5 이원배치법：반복없는 경우 ······································································46212.6 이원배치법：반복 있는 경우 ·····································································46812.7 EXCEL 활용 ·······························································································475▶ 연습문제 ········································································································480제13장 회귀분석과 상관분석13.1 회귀분석과 상관분석 ·················································································48713.2 산포도 ········································································································48813.3 단순선형회귀모델 ······················································································491확정적 모델과 확률적 모델 _ 491모집단 단순회귀모델 _ 492표본 회귀모델 _ 494오차항에 대한 가정 _ 49613.4 최소자승법 ·································································································49813.5 표본회귀선의 적합도 검정 ·········································································50213.6 상관분석 ····································································································510공분산 _ 510상관계수 _ 51213.7 표본회귀선의 유의성 검정 ·········································································51513.8 종속변수 Y 의 추정과 예측 ········································································52013.9 EXCEL 활용 ·······························································································526▶ 연습문제 ········································································································534제14장 다중회귀분석14.1 다중회귀모델 ·····························································································541다중선형회귀모델 _ 541다중회귀모델의 가정 _ 54314.2 최소자승법 ·································································································54414.3 다중표본회귀식의 적합도 검정 ·································································546추정치의 표준오차 _ 546결정계수 _ 54814.4 다중회귀모델에 대한 유의성 검정 ·····························································550F 검정 _ 550t 검정 _ 55214.5 종속변수 Y 의 예측 ····················································································55514.6 범주적 독립변수 ························································································557▶ 연습문제 ········································································································561제15장 χ2 검정과 비모수통계학15.1 모수통계학과 비모수통계학 ······································································56915.2 모집단 분포의 적합도 검정 ·······································································570모비율의 검정 _ 571모집단 분포의 검정 _ 57515.3 두 변수 간의 독립성 검정 ··········································································58015.4 EXCEL 활용 ·······························································································584▶ 연습문제 ········································································································586부표A. 이항분포표 ··································································································· 592B. e-μ의 값 ······································································································· 595C. 포아송분포표 ······························································································· 596D. 표준정규분포표 ···························································································· 598E. 난수표 ··········································································································· 599F. t 분포표 ········································································································· 600G. χ2분포표 ······································································································ 601H. F 분포표 ······································································································· 603◈ 영문색인 ················································································································ 607◈ 국문색인 ················································································································ 612
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