Sigma Statistics: NCEA Level 3, 4th edition

Published by Pearson (November 29, 2012) © 2013

  • David Barton
  • Claire Laverty

Paperback

ISBN-13: 9781442556980
Sigma Statistics: NCEA Level 3
Published 2012

Title overview

Completely updated to reflect recent changes in the New Zealand Curriculum, Sigma Statistics has been reorganised to provide full coverage of the NCEA Level 3 Statistics Achievement Standards.

To reflect the intent of the new curriculum and the new Level 3 Achievement Standards that now allow students to take a ‘statistics only’ course in Year 13, we have titled this new book Sigma Statistics rather than Sigma Mathematics, the predecessor title.

New features:
• Bootstrapping – new statistical technique for developing informal confidence intervals for the median, and mean
• Randomisation – new statistical technique for assessing the significance of experimental results
• Seamlessly integrated with the new iNZight and Visual Inference Tools (VIT) software
• Numerous new and updated datasets for time series, bivariate data analysis, statistical inference and experiments
• Wide-ranging selection of statistically based reports – all in one place!
• Full coverage of experimental design – the types of blocking, controls, treatments, means effects and more!
• Specially commissioned new apps – a boxplot generator that superimposes the informal confidence interval, interactive apps for exploring the effect of parameter changes on the binomial, Poisson and normal distributions
• Risk and relative risk
• Inclusion of discussion about deterministic and probabilistic models
• New simulations
• New interactive spreadsheets

Table of contents

The NCEA Level 3 Mathematics and Statistics Achievement Standards for Year 13
Foreword to students, parents and teachers
Investigations
Puzzles
CAS calculator applications 
Spreadsheet activities 
Data sets 
Simulations 

3.8 Time series
1 Features of time series
2 Time-series analysis 
3 Seasonal adjustments and index numbers 

3.9 Bivariate measurement data 
4 Analysing bivariate data 
5 Bivariate relationships 

3.10 Trigonometric relationships 
6 Exploratory data analysis 
7 Sampling variability 
8 Differences between samples

3.11 Statistical experiments 
9 Types of experiment 
10 Experimental procedures

3.12 Statistically based reports 
11 Reading statistical reports for understanding 
12 Data sources 
13 Using data: analysis and inference 
14 Interpreting statistical reports

3.13 Probability concepts 
15 Probability and events based on chance
16 Probability techniques 
17 Conditional probability 
18 Arrangements and selections

3.14 Probability distributions 
19 Discrete random variables 
20 Using distributions to model probability
21 Binomial distribution 
22 Poisson distribution 
23 Normal distribution 
24 Simulation 
25 Combining distributions and random variables

Appendices
Appendix 1: Using the Central Limit Theorem to construct confidence intervals 
Appendix 2: Statistical and mathematical proofs 
Appendix 3: Formulae 
Appendix 4: Statistical tables

Answers
Index

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