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BOMDAS/BODMAS
Order of operations: Brackets → Orders → Multiply/Divide → Add/Subtract.
Squaring a number
Squaring a number removes its sign (e.g., (-3)² = 9).
Mean formula
Mean is calculated as X̄ = ∑X / N.
Ubiquity of statistics
Statistics are essential across various fields like clinical practice, HR, sports psychology, marketing, and media literacy.
Mathematics anxiety
Mathematics anxiety can be mitigated by understanding that statistics uses basic math concepts and software for complex calculations.
Psychology breadth
Psychology includes 56 APA divisions covering various specialized fields.
Peer-review process in research
The peer-review process involves manuscript submissions, expert reviews, revisions, and publication.
Core knowledge sources
Key sources are personal experience, authority, reason, and empiricism.
Scientific method essentials
Science is a process involving rationalism and empiricism, focusing on observation and testable questions.
Scientific theory
A well-formed scientific theory summarizes existing facts and provides an explanatory mechanism.
Falsifiable hypothesis
A hypothesis must be falsifiable, meaning it should provide conditions under which it could be disproven.
Operational definition
Precise descriptions of how variables are measured or manipulated.
Converging operations
Using multiple methods or definitions to confirm a construct's validity.
Random variability
Random variability refers to inherent differences among individuals that can obscure effects.
Random assignment
Random assignment ensures that each participant has an equal chance of being assigned to any group.
Control groups
Control groups are used in experiments to isolate the effect of the independent variable.
Quasi-experimental design
Quasi-experimental designs do not use random assignment and often analyze pre-existing groups.
Correlational design
A correlational design examines relationships between naturally varying variables without manipulation.
Null hypothesis (H0)
The null hypothesis states there is no relationship between the independent variable and dependent variable.
Alternative hypothesis (H1)
The alternative hypothesis states there is a relationship between the independent variable and dependent variable.
Independent variable (IV)
The variable that is manipulated by the experimenter.
Dependent variable (DV)
The variable that is measured and is presumed to be influenced by the independent variable.
Variability in data
Variability includes random variability, individual differences, and situational variables affecting measurement.
Confounding variables
Confounding variables vary systematically with the IV and threaten causal interpretation.
Extraneous variables
Extraneous variables can contribute to variability in the DV and obscure effects.
Control of variability
Methods to control variability include random assignment and matching participants.
Ethics in research
Ethics focused on the moral treatment of research participants and adherence to ethical guidelines.
Pilot testing
Pilot testing involves verifying that measures function as intended before main data collection.
Descriptive statistics
Descriptive statistics summarize and describe data characteristics, including measures of central tendency.
Inferential statistics
Inferential statistics generalize findings from a sample to a larger population.
Frequency distribution
A frequency distribution shows the number of occurrences of different values in a dataset.
Normal distribution
A normal distribution is bell-shaped and symmetric, important in statistical analysis.
Skewness
Skewness measures asymmetry in a distribution; positive or negative skew indicates tail direction.
Kurtosis
Kurtosis measures the 'tailedness' of a distribution, affecting variance interpretations.
Central tendency
Central tendency measures include mean, median, and mode that describe typical values.
Standard deviation (SD)
Standard deviation quantifies the amount of variation or dispersion in a set of values.
Variance
Variance represents the average of the squared differences from the mean, indicating variability.
Percentiles
Percentiles indicate the value below which a percentage of observations fall in a dataset.
Box-and-whisker plot
A box-and-whisker plot is used to summarize data distribution and identify outliers.
Bar graph
A bar graph displays categorical data with rectangular bars representing frequency counts.
Histogram
A histogram presents frequency distribution for continuous data with touching bars.
Data cleaning
Data cleaning involves rectifying errors and ensuring dataset accuracy before analysis.
Cumulative frequency
Cumulative frequency accumulates counts up to each point in a frequency distribution.
Operational definitions for memory
Memory operationally defined as the ability to recall words after a specific period.
Measurement error
Measurement error refers to inaccuracies in data collection affecting results.
Research design
Research design outlines procedures for conducting systematic investigations and data collection.
Variables in research
Variables are characteristics measured in studies, including independent, dependent, and extraneous types.
Research ethics
Research ethics ensures that studies are conducted fairly and with respect for participants.
Theories vs. hypotheses
A theory is a broad explanatory framework; a hypothesis is a testable prediction derived from a theory.
Null and alternative hypothesis definitions
Null (H0) means no effect; alternative (H1) indicates a potential effect or relationship.
Research replication
Research replication tests whether findings hold true under similar conditions and methods.
Statistical significance
Statistical significance assesses whether observed effects are unlikely to occur by chance.
Conceptual framework
A conceptual framework defines the relationships between concepts in a research study.
Research integrity
Research integrity involves conducting studies honestly and without bias.
Statistical power
Statistical power is the probability of correctly rejecting a false null hypothesis.
Subjective vs. objective measurement
Subjective measurement relies on personal judgment; objective measurement relies on observable data.
Qualitative vs quantitative research
Qualitative research explores concepts; quantitative research tests hypotheses using numerical data.
Causal inference
Causal inference determines if changes in an IV directly result in changes in a DV.
Descriptive analysis
Descriptive analysis summarizes data to provide insights about central tendency and variability.
Statistical models
Statistical models mathematically represent relationships between variables in studies.
Experimental control
Experimental control refers to minimizing extraneous factors to establish clear effects.
Statistical sampling
Statistical sampling involves selecting a subset from a population to assess its characteristics.
Randomized controlled trial (RCT)
RCT is a type of experimental study used to test the effectiveness of interventions.
Blind vs double-blind study
In blind studies, participants don't know their group; in double-blind studies, neither participants nor researchers know.
Analysis of variance (ANOVA)
ANOVA is a statistical method used to compare means among multiple groups.
Confidence interval
A confidence interval estimates the range in which a population parameter is likely to fall.
Statistical hypothesis testing
Statistical hypothesis testing evaluates the evidence against the null hypothesis.
Multicollinearity
Multicollinearity occurs when independent variables are highly correlated, complicating analysis.
Outliers
Outliers are data points that differ significantly from other observations in a data set.
Regression analysis
Regression analysis examines relationships between dependent and independent variables.
Chi-square test
The chi-square test assesses the association between categorical variables.
Effect size
Effect size quantifies the strength of a response to an experimental manipulation.
Null effect
A null effect indicates no significant difference or relationship observed in data analysis.
Data integrity
Data integrity ensures the accuracy and reliability of data throughout a study.
Practicality in research
Practicality entails considering feasibility and resources when designing experiments.
Statistical software
Statistical software aids in conducting analyses, managing data, and generating visualizations.
Time-order relationship
A time-order relationship is necessary to establish causality between two variables.
Independent measures design
Independent measures design involves different participants for each condition in an experiment.
Field study
A field study examines subjects in their natural environment, offering real-world insights.
Placebo effect
The placebo effect is a psychological phenomenon where participants experience perceived benefits from a treatment due to expectations.
Field experiments
Field experiments manipulate variables in real-world settings while maintaining control of extraneous factors.
Longitudinal study
A longitudinal study collects data over a longer period to observe changes and developments.
Cross-sectional study
A cross-sectional study examines participants at a single point in time, comparing different groups.
Blinding in research
Blinding prevents participant or researcher knowledge of group assignments to reduce bias.
Institutional Review Board (IRB)
An IRB oversees research ethics and protects participants' rights and welfare.
Statistical significance threshold
The statistical significance threshold typically set at p < 0.05 indicates a 5% chance of error.
Slope of a regression line
The slope represents the change in the dependent variable for each unit change in the independent variable.
Data visualization
Data visualization utilizes graphical representations to simplify complex data for analysis.
Quantitative techniques
Quantitative techniques use numerical data and statistical methods for analysis.
Qualitative techniques
Qualitative techniques explore non-numeric data to understand concepts and experiences.
Effectiveness of treatments
Effectiveness of treatments examines the real-world impact of interventions on outcomes.
Sample bias
Sample bias occurs when a sample is not representative of the population, affecting generalizability.
Test validity
Test validity determines how well a test measures what it intends to measure.
Psychometric properties
Psychometric properties assess reliability and validity of psychological measures.
Statistical generalization
Statistical generalization applies findings from a study sample to a broader population.
Research limitations
Research limitations acknowledge constraints that can affect study interpretations and validity.
Accountability in research
Accountability in research involves transparency, responsible conduct, and ethical practices.
Sampling methods
Sampling methods include random, stratified, and cluster sampling to select study participants.