Social statistics for a diverse society:
Written especially for undergraduate students taking their first course in social statistics, this highly accessible text has been thoroughly revised and updated with the latest General Social Survey data.
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Los Angeles [u.a.]
Pine Forge Press
2009
|
| Edition: | 5th ed. |
| Subjects: | |
| Online Access: | Table of contents only Inhaltsverzeichnis |
| Summary: | Written especially for undergraduate students taking their first course in social statistics, this highly accessible text has been thoroughly revised and updated with the latest General Social Survey data. |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | xix, 596 p. zahlr. Ill. und graph. Darst. 24 cm |
| ISBN: | 9781412968249 1412968240 9781412968836 1412968836 |
Staff View
MARC
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| 020 | |a 1412968836 |c hardcover w/cd |9 1-412-96883-6 | ||
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| 100 | 1 | |a Frankfort-Nachmias, Chava |e Verfasser |0 (DE-588)124992714 |4 aut | |
| 245 | 1 | 0 | |a Social statistics for a diverse society |c Chava Frankfort-Nachmias ; Anna Leon-Guerrero |
| 250 | |a 5th ed. | ||
| 264 | 1 | |a Los Angeles [u.a.] |b Pine Forge Press |c 2009 | |
| 300 | |a xix, 596 p. |b zahlr. Ill. und graph. Darst. |c 24 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Includes bibliographical references and index | ||
| 520 | |a Written especially for undergraduate students taking their first course in social statistics, this highly accessible text has been thoroughly revised and updated with the latest General Social Survey data. | ||
| 650 | 4 | |a Sozialwissenschaften | |
| 650 | 4 | |a Statistik | |
| 650 | 4 | |a Social sciences |x Statistical methods | |
| 650 | 4 | |a Statistics | |
| 650 | 0 | 7 | |a Sozialwissenschaften |0 (DE-588)4055916-6 |2 gnd |9 rswk-swf |
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| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Leon-Guerrero, Anna |e Verfasser |4 aut | |
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Record in the Search Index
| _version_ | 1804140981923086336 |
|---|---|
| adam_text | Brief Contents
About the Authors
xiv
Preface
xv
1.
The What and the Why of Statistics
1
2.
Organization of Information: Frequency Distributions
27
3.
Graphic Presentation
65
4.
Measures of Central Tendency
95
5.
Measures of Variability
135
6.
The Normal Distribution
177
7.
Sampling and Sampling Distributions
205
8.
Estimation
237
9.
Testing Hypotheses
267
10.
Relationships Between Two Variables: Cross-Tabulation
3*7
11.
The
Chî-Square
Test
357
12.
Measures of Association for Nominal and Ordinal Variables
385
13.
Regression and Correlation
419
14.
Analysis of Variance
477
Appendix A. Table of Random Numbers
513
Appendix B. The Standard Normal Table
516
Appendix
С
DistribiitiOH of
t
520
Appendix D. Distribution of Chi -Square
522
Appendix E.
Distrîtetion
of
F
523
Appendix
F. À
Basie
МаЉ
Eevìew
§25
Answers· to
Öád
-МаімЬешї
Exercises
53!
Iodes S©
Detailed Contents
About the Authors
xiv
Preface
xv
1.
The What and the Why of Statistics
1
The Research Process
2
Asking Research Questions
3
The Rote of Theory
4
Formulating the Hypotheses
5
Independent and Dependent Variables: Causality
8
Independent and Dependent Variables: Guidelines
9
Collecting Data
10
Levels of Measurement
11
Nominal Level of Measurement
11
Ordinal Level of Measurement
12
Interval-Ratio Level of Measurement
12
Cumulative Property of Levels of Measurement
13
Levels of Measurement of Dichotomous Variables
15
Discrete and Continuous Variables
16
Analyziag Data and Evaluating the Hypotheses
16
Descriptive and Inferential Statistics
17
Evaluating the Hypotheses
18
Looking at Social Differences
18
A Closer Look
LIA Tale
of Simple Arithmetic:
How Culture May Influence How We Count
20
A Closer Look
1.2
Are You Anxious About Statistics?
20
2.
Organization of Information: Frequency Distributions
27
Frequency Distributions
28
Proportions and Percentages
29
Percentage Distributions
31
Comparisons
32
Statistics in Practice: Labor Force Participation Among Latinos
33
The Construction of Frequency Distributions
34
Frequency Distributions for Nominal Variables
35
Frequency Distributions for Ordinal Variables
35
Frequency Distributions for Interval-Ratio Variables
40
Cumulative Distributions
42
A Closer Look
2.1
Real Limits, Stated Limits, and
Midpoints of Class Intervals
43
Rates
45
Statistics in Practice: Marriage and Divorce Rates Over Time
47
Reading the Research Literature: Statistical Tables
47
Basic Principles
48
Tables With a Different Format
50
Conclusion
51
3.
Graphic Presentation
65
The Pie Chart: Race and Ethnicity of the Elderly
66
The Bar Graph: Living Arrangements and Labor Force
Participation of the Elderly
68
The Statistical Map: The Geographic Distribution of the Elderly
7Î
The Histogram
72
Statistics in Practice: The Graying of America
73
The Frequency Polygon
76
Time Series Charts
77
Statistics in Practice: Diversity at a Glance
79
4.
Measures of Central Tendency
95
The Mode
96
The Median
99
Finding the Median in Sorted Data
100
An Odd Number of Cases
100
An Even Number of Cases
102
Finding the Median in Frequency Distributions
103
Statistics in Practice: Gendered Income Inequality
104
Locating Percentiles in a Frequency Distribution
105
The Mean
107
Using a Formula to Calculate the Mean
Ш8
A Closer Look
4.1
Finding the Mean in a Frequency Distribution
109
Understanding Some Important Properties of the Arithmetic Mean
112
Interval-Ratio Level of Measurement
112
Center of Gravity 1
12
Sensitivity to Extremes
113
The Shape of the Distribution: Television and Education
115
The Symmetrical Distribution 1
16
The Positively Skewed Distribution
і
17
The Negatively Skewed
Distribution 118
Guidelines for Identifying the Shape of a Distribution
119
Considerations for Choosing a Measure of Central Tendency
120
Level of Measurement
121
Skewed Distribution
121
Symmetrical Distribution
121
A Closer Look
4.2
Statistics in Practice: Median Annual
Earnings Among Ethnic/Racial Subgroups
121
5,
Measures of
Variability
135
The Importance of Measuring Variability
136
The
índex
of Qualitative Variation (IQV): A Brief Introduction
138
Steps for Calculating the IQV
139
A Closer Look
5.
1 Statistics in Practice:
Diversity at Berkeley Through the Years
141
Expressing the IQV as a Percentage
142
Statistics in Practice: Diversity in U.S. Society
142
The Range
145
The Interquartile Range: Increases in Elderly Population
147
The Box Plot
149
The Variance and the Standard Deviation:
Changes in the Elderly Population
151
Calculating the Deviation From the Mean
154
Calculating the Variance and the Standard Deviation
156
Considerations for Choosing a Measure of Variation
159
Reading the Research Literature: Differences in College
Aspirations and Expectations Among Latino Adolescents
160
é.
The Normal Distribution
177
Properties of the Normal Distribution
178
Empirical Distributions Approximating the Normal Distribution
178
Ля
Example; Final Grades in Statistics
179
Areas Under the Normal Curve
179
Interpreting the Standard Deviation
181
Standard (Z) Scores
182
Transforming a Raw Score Into a Z Score
182
Transforming
a Z
Score into a Raw Score
Î83
The Standard Normal Distribution
184
The Standard Normal Table
185
The Structure of the Standard Normal Table
186
Transforming
Z
Scores into Proportions (or Percentages)
187
Finding the Area Between the Mean
and a Specified Positive
Z
Score
187
Finding the Area Between the Mean
and a Specified Negative
Z
Score
187
Finding the Area Between Two
2
Scores
on opposite Sides of the
Meas
І
89
Finding the Area Above a Positive
Z
Score or
Below a Negative
Z
Score
189
Transforming Proportions (or Percentages) Into
Z
Scores
190
Finding a
Z
Score Bounding an Area Above It
191
Finding
a Z
Score Bounding an Area Beiow It
191
Working With Percentiles in a Normal Distribution
192
Finding the
Percentik
Rank of a Score Higher Than the Mean
193
Finding the Percentile Rank of a Score Lower Than the Mean
193
Finding the Raw Score Associated
With a Percentile Higher Than
50 194
Finding the Raw Score Associated
With a Percentile Lower Than
50 196
A Final Note
197
7.
Sampling and Sampling Distributions
205
Aims of Sampling
206
Some Basic Principles of Probability
208
Probability Sampling
210
The Simple Random Sample
210
The Systematic Random Sample
212
The Stratified Random Sample
213
A Closer Look
7.1
Disproportionate Stratified Samples and Diversity
214
The Concept of the Sampling Distribution
2 ! 5
The Population
216
The Sample
217
The Dilemma
218
The Sampling Distribution
2
Î
8
The Sampling Distribution of the Mean
218
An Illustration
219
Review
221
The Mean of the Sampling Distribution
221
The Standard Error of the Mean
221
The Central Limit Theorem
223
A Closer Look
7.2
Population, Sample, and Sampling
Distribution Symbols
223
The Size of the Sample
226
The Significance of the Sampling Distribution
and the Central Limit Theorem
226
8.
Estimation
237
Estimation Defined
238
Reasons for Estimation
239
Paint and interval Estimation
239
Procedures for Estimating Confidence Intervals for Means
240
A Closer Look
8,
1 Estimation as a Type of Inference
241
Determining the Confidence Interval
242
Calculating the Standard Error of the Mean
243
Deciding on the Level of Confidence and
Finding the Corresponding
Z
Value
243
Calculating the Confidence Interval
243
Interpreting the Results
244
Reducing Risk
245
Estimating Sigma
246
Calculating the Estimated Standard Error of the Mean
247
Deciding on the Level of Confidence and
Finding the Corresponding
Z
Value
247
Calculating the Confidence Interval
247
Interpreting the Results
247
Sample Size and Confidence Intervals
248
A Closer Look
8.2
What Affects Confidence Interval Width?
A Summary
249
Statistics in Practice: Hispanic Migration and Earnings
250
Confidence Intervals for Proportions
253
Procedures for Estimating Proportions
254
Calculating the Estimated Standard Error of the Proportion
255
Deciding on the Desired Level of Confidence and
Finding the Corresponding
Z
Value
255
Calculating the Confidence Interval
255
Interpreting the Results
255
Statistics in Practice: The Democratic Presidential Nomination
256
Calculating the Estimated Standard Error of the Proportion
256
Deciding on the Desired Level of Confidence
and Finding the Corresponding
Z
Value
256
Calculating the Confidence Interval
257
Interpreting the Results
257
9.
Testing Hypotheses
267
Assumptions of Statistical Hypothesis Testing
269
Stating the Research and Null Hypotheses
269
The Research Hypothesis
(ИЈ
269
The Null Hypothesis
(Щ
270
More About Research Hypotheses: One- and Two-Tailed Tests
271
Determining What Is Sufficiently Improbable:
Probability Values and Alpha
272
The Five Steps in Hypothesis Testing: A Summary
276
Errors in Hypothesis Testing
277
The
t
Statistic and Estimating the Standard Error
278
The
t
Distribution and Degrees of Freedom
278
Comparing the
t
and
Z
Statistics
279
Statistics in Practice: The Earnings of White Women
280
Testing Hypotheses About Two Samples
282
The Assumption of Independent Samples
283
Stating the Research and Null Hypotheses
283
The Sampling Distribution of the Difference Between Means
284
Estimating the Standard Error
285
Calculating the Estimated Standard Error
285
The
t
Statistic
285
Calculating the Degrees of Freedom for
a Difference Between Means Test
286
A Closer Look
9.1
Calculating the Estimated
Standard Error and the Degrees of Freedom (df)
When the Population Variances Are Assumed Unequal
286
The Five Steps in Hypothesis Testing About
Difference Between Means: A Summary
287
Statistics in Practice: First Time Drug Use Among Students
288
Testing the Significance of the Difference Between
Two Sample Proportions
291
Statistics in Practice: Political Party Affiliation
and Confidence in the Executive Branch
291
Statistics in Practice: Educational Attainment
and Confidence in the Executive Branch
293
Reading the Research Literature: Reporting the Results
of Statistical Hypothesis Testing
294
10.
Relationships Between Two Variables: Cross-Tabulation
307
Independent and Dependent Variables
308
How to Construct
a Divariate
Table: Race and Home Ownership
309
How to Compute Percentages in
a Divariate
Table
311
Calculating Percentages Within Each Category of the
Independent Variable
312
Comparing the Percentages Across Different Categories
of the Independent Variable
313
How to Deal With Ambiguous Relationships Between Variables
313
A Closer Look
10.1
Percentaging a Bivariate Table
314
Reading the Research Literature:
Płace
of Death in America
317
The Properties of a Bivariate Relationship
320
The Existence of the Relationship
320
The Strength of the Relationship
321
The Direction of the Relationship
322
Elaboration
324
Testing for Nonspuriousness: Firefighters and Property Damage
324
An Intervening Relationship: Religion and Attitude Toward Abortion
328
Conditional Relationships: More on Abortion
333
The Limitations of Elaboration
336
Statistics in Practice: Family Support for the Transition From High School
337
11.
The Chi-Sqnare Test
357
The Concept of Chi-Square as a Statistical Test
360
The Concept of Statistical Independence
360
The Structure of Hypothesis Testing With Chi-Square
361
The Assumptions
361
Stating the Research and the Null Hypotheses
361
The Concept of Expected Frequencies
362
Calculating the Expected Frequencies
362
Calculating the Obtained Chi-Square
364
The Sampling Distribution of Chi-Square
365
Determining the Degrees of Freedom
366
Review
368
The Limitations of the Chi-Square Test: Sample Size
and Statistical Significance
369
A Closer Look
11.1
Decision: Fail to Reject the Null Hypothesis
370
Statistics in Practice: Education and Health Assessment
372
Reading the Research Literature: Sibling
Cooperation and Academic Achievement
374
12.
Measures of Association for Nominal and Ordinal Variables
385
Proportional Reduction of Error: A Brief Introduction
385
A Closer Look
12.1
What Is Strong? What Is Weak? A Guide to Interpretation
388
Lambda:
A Measure of Association for Nominal Variables
389
A Method for Calculating Lambda
390
Some Guidelines for Calculating Lambda
392
Gamma: An Ordinal Measure of Association
392
Analyzing the Association Between Ordinal Variables:
Education and Financial Satisfaction
393
Comparison of Pairs
393
Types of Pairs
396
Counting Pairs
397
Same Order Pairs (Ns)
397
Inverse Order Pairs (Nd)
397
Tied Pairs
398
Calculating Gamma
399
Positive ami Negative Gamma
400
Gamma as a PRE Measure
401
Calculating Kendall s
Tau-è
401
Kendall s
Таи-Ъ
402
Statistics in Practice: Education and Approval of Homosexuality
402
Using
Ordinal
Measures With Dichotomoos Variables
403
Reading the Research Literature: Woridview and Abortion Beliefs
404
Examining the Data
405
Interpreting the Data
406
13.
Regression and Correlation
419
The Scatter Diagram
421
Linear Relations and Prediction Rules
423
Constructing Straight-Line Graphs
426
Finding the Best-Fitting Line
428
Defining Error
429
The Residual Sum of Squares (Ze2)
429
The Least-Squares Line
429
Review
430
Computing a and
b
for the Prediction Equation
430
Interpreting a and
b
434
Statistics in Practice: Median Household Income and Criminal Behavior
434
A Closer Look
13.1
Understanding the Co variance
435
A Closer Look
13.2
A Note on Nonlinear Relationships
436
Methods for Assessing the Accuracy of Predictions
439
Prediction Errors
440
The Coefficient of Determination (r2) as a PRE Measure
443
Calculating r2
444
Pearson s Correlation Coefficient (r)
446
Characteristics of Pearson s
r
446
Statistics in Practice: Teen Pregnancy and Social Inequality
447
Statistics in Practice: The Marriage Penalty in Earnings
450
Multiple Regression
452
14.
Analysis of Variance
477
Understanding Analysis of Variance
478
The Structure of Hypothesis Testing With ANOVA
480
The Assumptions
480
Setting the Research and the Null Hypotheses and Setting Alpha
480
The Concepts of Between and Within Total Variance
481
A Closer Look
14.1
Decomposition of SST
484
The
F
Statistic
484
Making a Decision
486
The Five Steps in Hypothesis Testing: A Summary
486
A Closer Look
14.2
Assessing the Relationship Between Variables
489
Testing the Significance of r2 Using ANOVA
489
A Closer Look
14.3
High School GPA and Race/Ethnicity
490
ANOVA for Multiple Linear Regression
493
Reading the Research Literature: Self-image and Ethnic Identification
494
Reading the Research Literature: Effects of Authority
Structures and Gender on Interaction in Task Groups
496
Appendix A. Table of Random Numbers
513
Appendix B. The Standard Normal Table
516
Appendix C. Distribution of
ŕ 52§
Appendix D. Distribution of Chi-Square
522
Appendix E. Distribution of
F
523
Appendix
F. A
Basic Math Review
525
Answers to Odd-Numbered
Exercises
531
Index
583
|
| any_adam_object | 1 |
| author | Frankfort-Nachmias, Chava Leon-Guerrero, Anna |
| author_GND | (DE-588)124992714 |
| author_facet | Frankfort-Nachmias, Chava Leon-Guerrero, Anna |
| author_role | aut aut |
| author_sort | Frankfort-Nachmias, Chava |
| author_variant | c f n cfn a l g alg |
| building | Verbundindex |
| bvnumber | BV035962813 |
| callnumber-first | H - Social Science |
| callnumber-label | HA29 |
| callnumber-raw | HA29 |
| callnumber-search | HA29 |
| callnumber-sort | HA 229 |
| callnumber-subject | HA - Statistics |
| classification_rvk | MR 2100 |
| ctrlnum | (OCoLC)233798915 (DE-599)BVBBV035962813 |
| dewey-full | 519.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.5 |
| dewey-search | 519.5 |
| dewey-sort | 3519.5 |
| dewey-tens | 510 - Mathematics |
| discipline | Soziologie Mathematik |
| edition | 5th ed. |
| format | Book |
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| id | DE-604.BV035962813 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:08:37Z |
| institution | BVB |
| isbn | 9781412968249 1412968240 9781412968836 1412968836 |
| language | English |
| lccn | 2008030604 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018856959 |
| oclc_num | 233798915 |
| open_access_boolean | |
| owner | DE-473 DE-BY-UBG |
| owner_facet | DE-473 DE-BY-UBG |
| physical | xix, 596 p. zahlr. Ill. und graph. Darst. 24 cm |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Pine Forge Press |
| record_format | marc |
| spelling | Frankfort-Nachmias, Chava Verfasser (DE-588)124992714 aut Social statistics for a diverse society Chava Frankfort-Nachmias ; Anna Leon-Guerrero 5th ed. Los Angeles [u.a.] Pine Forge Press 2009 xix, 596 p. zahlr. Ill. und graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index Written especially for undergraduate students taking their first course in social statistics, this highly accessible text has been thoroughly revised and updated with the latest General Social Survey data. Sozialwissenschaften Statistik Social sciences Statistical methods Statistics Sozialwissenschaften (DE-588)4055916-6 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf Sozialwissenschaften (DE-588)4055916-6 s Statistik (DE-588)4056995-0 s DE-604 Leon-Guerrero, Anna Verfasser aut http://www.loc.gov/catdir/toc/ecip0822/2008030604.html Table of contents only Digitalisierung UB Bamberg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018856959&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Frankfort-Nachmias, Chava Leon-Guerrero, Anna Social statistics for a diverse society Sozialwissenschaften Statistik Social sciences Statistical methods Statistics Sozialwissenschaften (DE-588)4055916-6 gnd Statistik (DE-588)4056995-0 gnd |
| subject_GND | (DE-588)4055916-6 (DE-588)4056995-0 |
| title | Social statistics for a diverse society |
| title_auth | Social statistics for a diverse society |
| title_exact_search | Social statistics for a diverse society |
| title_full | Social statistics for a diverse society Chava Frankfort-Nachmias ; Anna Leon-Guerrero |
| title_fullStr | Social statistics for a diverse society Chava Frankfort-Nachmias ; Anna Leon-Guerrero |
| title_full_unstemmed | Social statistics for a diverse society Chava Frankfort-Nachmias ; Anna Leon-Guerrero |
| title_short | Social statistics for a diverse society |
| title_sort | social statistics for a diverse society |
| topic | Sozialwissenschaften Statistik Social sciences Statistical methods Statistics Sozialwissenschaften (DE-588)4055916-6 gnd Statistik (DE-588)4056995-0 gnd |
| topic_facet | Sozialwissenschaften Statistik Social sciences Statistical methods Statistics |
| url | http://www.loc.gov/catdir/toc/ecip0822/2008030604.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018856959&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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