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Reaburn, Robyn – Mathematics Education Research Group of Australasia, 2019
Random sampling and random allocation are essential processes in the practice of inferential statistics. These processes ensure that all members of a population are equally likely to be selected, and that all possible allocations in an experiment are equally likely. It is these characteristics that allow the validity of the subsequent calculations…
Descriptors: Statistics, Comprehension, Introductory Courses, College Students
Reaburn, Robyn – Mathematics Education Research Group of Australasia, 2017
It is well known that students of inferential statistics find the hypothetical, probabilistic reasoning used in hypothesis tests difficult to understand. Consequently, they will also have difficulties in understanding "p"-values. It is not unusual for these students to hold misconceptions about "p"-values that are difficult to…
Descriptors: Foreign Countries, Mathematics Teachers, Statistics, Beliefs
Barratt, Monica J.; Ferris, Jason A.; Lenton, Simon – Field Methods, 2015
Online purposive samples have unknown biases and may not strictly be used to make inferences about wider populations, yet such inferences continue to occur. We compared the demographic and drug use characteristics of Australian ecstasy users from a probability (National Drug Strategy Household Survey, n = 726) and purposive sample (online survey…
Descriptors: Sampling, Validity, Drug Abuse, Probability
Reaburn, Robyn – Mathematics Education Research Group of Australasia, 2013
An understanding of conditional probability is essential for students of inferential statistics as it is used in Null Hypothesis Tests. Conditional probability is also used in Bayes' theorem, in the interpretation of medical screening tests and in quality control procedures. This study examines the understanding of conditional probability of…
Descriptors: Foreign Countries, Mathematics Instruction, Statistical Inference, Statistics
Day, Lorraine – Australian Mathematics Teacher, 2013
The area of statistics is one in which teachers may be encouraged to make important links to other curriculum areas and social issues. Statistical literacy is a key component of being numerate and living as an informed citizen. The teaching of statistics provides an opportunity to inform and educate students about social issues and moral…
Descriptors: Social Problems, Statistics, Foreign Countries, Mathematics
Watson, Jane; Chance, Beth – Australian Senior Mathematics Journal, 2012
Formal inference, which makes theoretical assumptions about distributions and applies hypothesis testing procedures with null and alternative hypotheses, is notoriously difficult for tertiary students to master. The debate about whether this content should appear in Years 11 and 12 of the "Australian Curriculum: Mathematics" has gone on…
Descriptors: Foreign Countries, Research Methodology, Sampling, Statistical Inference