EXCEL 활용 통계학
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.
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.
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