Psychology 218 Analysis of Behavioural Data Introductions: Course Director: Dr. Kevin Hamilton Teaching Assistant: Lindsay Nagamatsu Students: Calculators and computers: Approach to course: Math review: Appendix A Study Hints: Course outline: http://www.psych.ubc.ca/courses/psy Course note outlines: http://www.psych.ubc.ca/~kevin/ 1 Lecture 1: Introduction, tables, graphs (Chapters 1 and 2) Statistics – technical definition: Science consists of methods for making observations and collecting information (measurements). Statistics are mathematical procedures for organizing, summarizing and interpreting information Statistics for organizing information are called descriptive statistics (average, range, tables, graphs, etc.) Statistics for interpreting information are called inferential statistics (do differences found between conditions in an experiment (samples) show the same pattern as the entire population) 2 Why statistics: They help us to condense and summarize large amounts of information They provide a way of describing variability in behavioural data They help us establish population effects from samples A basic statistical background is critical for evaluating information in our new information based society Statistics provides standardized procedures for summarizing and interpreting data that are recognized and understood throughout the worldwide scientific community 3 Statistical concepts: Population: The set of all individuals of interest in a particular study (you define it) For example: o all North American males between 20 and 30 years of age (large) o all Kwantlen students missing the index finger from their left hand and the thumb from their right (small) Populations can be large or small but are often large. Sample: The set of all individuals selected from a population, usually intended to represent the population (samples provide us with a window on and in turn a glimpse at the population). Samples are often used because populations are too large for acquiring all relevant data When describing data, it is important to distinguish between: 1) Data from a population -population parameters 2) Data from a sample –statistics 4 Sampling error: A sample is never identical to its population. Sampling error is the discrepancy or amount of error between sampling statistics and corresponding population parameters The purpose of inferential statistics is to compute sampling error to determine how true the relationship is between sample statistics and population parameters Basic to being able to conduct good research is the ability to create a good sample The basic principle of sampling is random selection Random selection gives everyone in the population and equal chance of being selected for the sample 5 Other terminology: Datum: Singular measurement or observation Data: Plural of datum Raw score - Original measurement = true score +error Variable: A characteristic or condition that changes or has different values for different individuals. For example, X Y (height, weight) Constant: A variable that does not change is a constant (C). For example, adding 4 to every score (X+C) Correlation: A statistical technique for determining the decree of relation between two or more variables The simplest way to determine if there is a relationship between variables – determined by observation not manipulation. Correlations tell us nothing about cause and effect (which variable is the antecedent and which variable is the consequent) 6 Experimental method: Procedure to determine cause and effect. Involves manipulating variable of interest while keeping everything else constant (e.g. location, instructions, time of day, etc.) Subjects: Participants in a study Independent variable: Variable manipulated or controlled by the experimenter (always has at least 2 values or levels) Dependent variable: Variable observed for changes (measurement) Control group: Condition of the independent variable that does not receive experimental treatment Can receive neutral treatment or placebo Provides baseline for comparing experimental group effects of treatment Quasi-Experimental Method Examination of non-manipulated independent variables (quasiindependent variables) These variables are usually a subject or time variable – e.g. M/F or comparing individuals at different point in time. 7 Theory: A number of statements about underline mechanisms of behavior Helps us organize, unify and understand observations useful for promoting further research. A theory makes predictions (hypotheses) Hypothesis – a tentative assumption made in order to draw out a test of its empirical consequences Hypothesis testing is a way of testing theories or predicting outcomes Hypothesis testing is a big part of inferential statistics Hypothetical constructs: Concepts that help explain behavior - phenomena which can't be measured directly for example: learning, intelligence, personality types, motives Often hypothetical constructs take the form of intervening variables Operational definition: Defining a construct so that it can be observed and measured. For example, intelligence, scores on an IQ test (IV, DV) There are two components to an operational definition: 8 1) Description of operations and procedures for measuring a construct 2) Description of construct in terms of resulting measurements (dependent variable) Scales: Either qualitative or quantitative Nominal: A scale defined by name alone. For example, categories such as professional, skilled trade, sales, levels of an independent variable (control, drug) Ordinal: Separate categories presented in rank order for example: first-place, second-place, third-place, etc. Difference between first and second-place not necessarily the same as difference between third and fourth place Interval: The same as ordinal scale but the intervals are the same size. For example, degrees Celsius, degrees Fahrenheit Ratio scale: The same as interval scale but it has an absolute zero. For example weights and measures, degrees Calvin. Note: dependent variables are usually ratio or interval scales. 9 Discrete and continuous and variables: Discrete variable: Indivisible categories for example, number of children, number of apartment houses. Continuous variable: Divisible categories, for example, measures such as time, distance, etc. Divisions are possible an infinite number of times Mathematics review: see appendix A Statistical notation: see appendix A-1 Scores: X,Y Summation: Order of operations: 1) Parentheses 2) Exponents (squaring) 3) Multiplication and division (in order they appear from left to right) 4) Summation 5) Any other addition or subtraction (in order they appear from left to right) Readings: Assignment: Chapters 1 and 2 Odd numbered problems at the end of Ch 1 10