목차 

• 제1 장 통계학의 이해
  1.1 통계학의 의미 ······························································································· 3
  1.2 통계학의 분류 ······························································································· 4
  1.3 모집단과 표본 ······························································································· 7
  1.4 데이터 마이닝 ····························································································· 13
  4차 산업혁명 _ 13
  빅데이터 _ 15
  비즈니스 분석론 _ 16
  인공지능 _ 19
  데이터 마이닝 _ 20
  ▶ 연습문제 ········································································································· 22
  
  제2 장 기술통계학Ⅰ：데이터의 정리 및 표현
  2.1 데이터의 종류 ····························································································· 27
  범주 데이터와 수치 데이터 _ 28
  이산 데이터와 연속 데이터 _ 29
  단변수 데이터와 다변수 데이터 _ 30
  
  2.2 측정척도의 형태 ························································································· 32
  명목척도 _ 32
  서열척도 _ 33
  구간척도 _ 34
  비율척도 _ 34
  2.3 도수분포표 ·································································································· 36
  기본 개념 _ 36
  도수분포표의 그래프 _ 37
  2.4 범주 데이터의 정리 ···················································································· 37
  도수분포표 _ 37
  도수분포표의 그래프 _ 40
  2.5 수치 데이터의 정리：이산 데이터 ····························································· 45
  도수분포표 _ 45
  도수분포표의 그래프 _ 46
  2.6 수치 데이터의 정리：연속 데이터 ····························································· 47
  도수분포표의 그래프 _ 50
  2.7 EXCEL 활용 ································································································ 53
  ▶ 연습문제 ········································································································· 64
  
  제3장 기술통계학Ⅱ：요약통계량
  3.1 중심경향의 측정치 ······················································································ 73
  산술평균 _ 74
  중앙치 _ 75
  최빈치 _ 76
  평균, 중앙치, 최빈치의 비교 _ 77
  3.2 산포의 측정치 ····························································································· 78
  범위 _ 80
  중간범위 _ 81
  평균절대편차 _ 82
  분산과 표준편차 _ 83
  Chebyshev의 정리 _ 88
  변동계수 _ 90
  3.3 상대위치의 측정치 ······················································································ 91
  백분위수 _ 92
  사분위수 _ 93
  Z 값 _ 94
  3.4 형태의 측정치 ····························································································· 97
  비대칭도 _ 97
  첨도 _ 99
  3.5 EXCEL 활용 ·······························································································100
  ▶ 연습문제 ········································································································108
  
  제4장 확률이론
  4.1 사상과 표본공간 ························································································113
  4.2 집합이론 ····································································································118
  집합의 개념 _ 118
  집합의 종류 _ 119
  4.3 확률의 정의 ·······························································································124
  고전적 방법 _ 125
  상대도수 방법 _ 125
  주관적 방법 _ 127
  4.4 확률의 공리 ·······························································································127
  4.5 확률의 연산법칙 ························································································129
  덧셈법칙 _ 129
  조건확률 _ 132
  곱셈법칙 _ 140
  4.6 Bayes 정리 ································································································142
  개념 _ 142
  표의 이용 _ 144
  4.7 EXCEL 활용 ·······························································································146
  ▶ 연습문제 ········································································································147
  
  제5장 확률변수와 확률분포
  5.1 확률변수 ····································································································155
  5.2 확률분포 ····································································································157
  이산확률분포 _ 158
  연속확률분포 _ 160
  5.3 확률함수 ····································································································161
  확률질량함수 _ 162
  확률밀도함수 _ 164
  5.4 확률변수의 기대값과 분산 ·········································································167
  기대값의 의미 _ 167
  기대값의 특성 _ 168
  분산 _ 169
  5.5 결합확률분포 ·····························································································173
  결합확률분포의 개념 _ 173
  조건확률 _ 175
  두 변수의 독립성 _ 176
  5.6 공분산과 상관계수 ·····················································································177
  공분산 _ 177
  상관계수 _ 179
  5.7 EXCEL 활용 ·······························································································180
  ▶ 연습문제 ········································································································184
  
  제6장 확률분포Ⅰ：이산확률분포
  6.1 베르누이 시행 ····························································································191
  6.2 이항분포 ····································································································192
  이항 확률질량함수의 이용 _ 193
  이항확률표의 이용 _ 195
  6.3 이항분포의 형태 ························································································197
  6.4 이항분포의 기대값과 분산 ·········································································199
  6.5 포아송분포 ·································································································202
  개념 _ 202
  포아송 확률질량함수의 이용 _ 203
  포아송 분포표의 이용 _ 204
  6.6 초기하분포 ·································································································206
  개념 _ 206
  초기하분포의 확률질량함수 _ 207
  6.7 EXCEL 활용 ·······························································································209
  ▶ 연습문제 ········································································································211
  
  제7장 확률분포Ⅱ：연속확률분포
  7.1 확률밀도함수 ·····························································································217
  7.2 정규분포 ····································································································219
  정규분포의 사용 _ 219
  정규곡선의 형태 _ 219
  정규곡선의 특성 _ 220
  7.3 표준정규분포 ·····························································································224
  정의 _ 224
  표준정규분포표의 이용 _ 230
  정규분포의 응용 예 _ 238
  7.4 이항분포의 정규근사 ·················································································241
  7.5 지수분포 ····································································································243
  개념 _ 243
  지수분포의 확률 _ 245
  7.6 EXCEL 활용 ·······························································································247
  ▶ 연습문제 ········································································································252
  
  제8장 표본분포
  8.1 표본추출 ····································································································259
  표본조사의 필요성 _ 259
  표본오차와 비표본오차 _ 260
  8.2 표본추출 과정 ····························································································262
  8.3 표본추출 방법 ····························································································263
  확률 추출방법 _ 264
  비확률 추출방법 _ 266
  8.4 표본분포 ····································································································266
  8.5 평균의 표본분포：복원추출 ······································································269
  개념 _ 269
  평균의 표본분포의 기대값과 분산 _ 273
  평균의 표준오차 _ 275
  8.6 평균의 표본분포：비복원추출 ··································································277
  8.7 중심극한정리 ·····························································································281
  표본크기의 영향 _ 281
  모집단이 정규분포를 따를 때 _ 282
  모집단이 정규분포를 따르지 않을 때 _ 284
  8.8 비율의 표본분포 ························································································287
  개념 _ 287
  비율의 표본분포의 기대값과 표준편차 _ 289
  이항분포의 정규근사 _ 292
  유한 모집단에서의 표본비율의 표준편차 _ 293
  8.9 EXCEL 활용 ·······························································································294
  ▶ 연습문제 ········································································································298
  
  제9장 통계적 추정：한 모집단
  9.1 점추정과 구간추정 ·····················································································305
  9.2 추정량의 결정기준 ·····················································································306
  불편성 _ 307
  효율성 _ 308
  일관성 _ 309
  충족성 _ 310
  9.3 신뢰구간 추정 ····························································································311
  개념 _ 311
  오차율 _ 313
  9.4 모평균의 신뢰구간 ·····················································································314
  모표준편차를 아는 경우 _ 314
  모표준편차를 모르는 경우：소표본 _ 320
  9.5 t 분포 ·········································································································320
  모표준편차를 모르는 경우：대표본 _ 327
  9.6 모비율의 신뢰구간 ·····················································································329
  9.7 표본크기 결정 ····························································································331
  모평균 추정 _ 331
  모비율 추정 _ 334
  9.8 모분산의 신뢰구간 ·····················································································336
  χ2 분포의 특성 _ 337
  모분산의 신뢰구간 _ 341
  9.9 EXCEL 활용 ·······························································································344
  ▶ 연습문제 ········································································································348
  
  제10장 가설검정：한 모집단
  10.1 가설검정 ····································································································355
  가설의 의미와 종류 _ 355
  가설의 설정 _ 356
  가설의 형태 _ 358
  가설검정의 오류 _ 360
  결정규칙 _ 362
  가설검정의 순서 _ 366
  10.2 모평균의 가설검정 ·····················································································367
  모표준편차를 아는 경우 _ 368
  모표준편차를 모르는 경우 _ 378
  10.3 모비율의 가설검정 ·····················································································383
  10.4 모분산의 가설검정 ·····················································································387
  10.5 EXCEL 활용 ·······························································································390
  ▶ 연습문제 ········································································································395
  
  제11장 통계적 추정과 가설검정：두 모집단
  11.1 표본의 독립성과 종속성 ············································································403
  11.2 두 표본평균 차이의 표본분포 ····································································404
  11.3 두 모평균 차이에 대한 추정과 검정 ··························································406
  독립표본 _ 406
  대응표본 _ 414
  11.4 두 모비율 차이에 대한 추정과 검정 ··························································418
  11.5 두 모분산 비율에 대한 추정과 검정 ··························································423
  F 분포 _ 423
  두 모분산 비율의 추정 _ 427
  두 모분산 비율의 검정 _ 428
  11.6 EXCEL 활용 ·······························································································431
  ▶ 연습문제 ········································································································438
  
  제12장 분산분석
  12.1 분산분석의 의미 ························································································447
  12.2 실험설계의 기본 개념 ················································································448
  12.3 분산분석의 기본 원리 ················································································450
  12.4 일원배치법：반복 수가 같은 경우 ····························································452
  12.5 이원배치법：반복없는 경우 ······································································462
  12.6 이원배치법：반복 있는 경우 ·····································································468
  12.7 EXCEL 활용 ·······························································································475
  ▶ 연습문제 ········································································································480
  
  제13장 회귀분석과 상관분석
  13.1 회귀분석과 상관분석 ·················································································487
  13.2 산포도 ········································································································488
  13.3 단순선형회귀모델 ······················································································491
  확정적 모델과 확률적 모델 _ 491
  모집단 단순회귀모델 _ 492
  표본 회귀모델 _ 494
  오차항에 대한 가정 _ 496
  13.4 최소자승법 ·································································································498
  13.5 표본회귀선의 적합도 검정 ·········································································502
  13.6 상관분석 ····································································································510
  공분산 _ 510
  상관계수 _ 512
  13.7 표본회귀선의 유의성 검정 ·········································································515
  13.8 종속변수 Y 의 추정과 예측 ········································································520
  13.9 EXCEL 활용 ·······························································································526
  ▶ 연습문제 ········································································································534
  
  제14장 다중회귀분석
  14.1 다중회귀모델 ·····························································································541
  다중선형회귀모델 _ 541
  다중회귀모델의 가정 _ 543
  14.2 최소자승법 ·································································································544
  14.3 다중표본회귀식의 적합도 검정 ·································································546
  추정치의 표준오차 _ 546
  결정계수 _ 548
  14.4 다중회귀모델에 대한 유의성 검정 ·····························································550
  F 검정 _ 550
  t 검정 _ 552
  14.5 종속변수 Y 의 예측 ····················································································555
  14.6 범주적 독립변수 ························································································557
  ▶ 연습문제 ········································································································561
  
  제15장 χ2 검정과 비모수통계학
  15.1 모수통계학과 비모수통계학 ······································································569
  15.2 모집단 분포의 적합도 검정 ·······································································570
  모비율의 검정 _ 571
  모집단 분포의 검정 _ 575
  15.3 두 변수 간의 독립성 검정 ··········································································580
  15.4 EXCEL 활용 ·······························································································584
  ▶ 연습문제 ········································································································586
  
  부표
  A. 이항분포표 ··································································································· 592
  B. e-μ의 값 ······································································································· 595
  C. 포아송분포표 ······························································································· 596
  D. 표준정규분포표 ···························································································· 598
  E. 난수표 ··········································································································· 599
  F. t 분포표 ········································································································· 600
  G. χ2분포표 ······································································································ 601
  H. F 분포표 ······································································································· 603
  ◈ 영문색인 ················································································································ 607
  ◈ 국문색인 ················································································································ 612