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SARD psych 2a

QuestionAnswer
psychological construct theoretical idea in psychology, not directly observable
operationalisation process of turning construct into something objectively measurable
experimental research establish cause + effect relationship, controlled environment, control group, random assignment to conditions, IV manipulated to measure effect on DV
within-subject study's participants put through all levels of experiment
btwn-subject randomly assigned groups only go through one level of experiment
non-experimental design association established btwn two variables, observation, limited control of external variables
correlational design associations/relationships established btwn two variables, can do statistical correlation test, can be continuous/categorical variables
cross-sectional design different cohorts (usually age groups) measured at one single time
cohort effects variables affecting diff cohorts differently due to their subjective temporal experience (eg generational differences), making cohorts less accurately comparable
longitudinal design one cohort/sample studied over extended period
cross sequential following different cohorts of age in closer succession, combo of cross-sectional and longitudinal elements
quasi experimental design experimental design without the ability to randomly allocate participant groups, no control group, little control over extraneous variables
post-test-only design intervention introduced and results measured after
pre-test, post-test design baseline measured, intervention introduced, results measured after
non-equivalent pre-test, post-test design baseline, intervention, remeasure for multiple groups
post-test only eval + = quick to implement - = don't know participants baseline, cant compare disposition before and after intervention
pre-test-post-test eval + = insight into baseline, quick - = repetition of test may lead into practice effects, history effects, regression to mean
regression to mean extreme values = closer to mean upon second test
history effect events happening outside experiment = affect how partips respond in study
practice effect participants scores improve/change due to prev exposure to test, not own development
non-equivalent eval + = baseline comparison, quick, most informative - = no random assignment, regression to mean
sample (n) smaller portion of population
population (N) all possible membs of category from which sample is drawn
representative sample sample which accurately represents wider pop
generalisability extent to which results of study can be applied across populations
probability sample sampling techniques where each member of pop has equal probability of being selected, need access to all membs of pop
simple random sampling pulling names from hats, random number generator
stratified sampling group pop into stratas/groups based on characteristics, random sampling from stratas (proportional vs disproportional)
stratified disproportional each strata represented equally, might not reflect proportions in larger population
stratified proportional each strata represented to reflect proportions of original pop
cluster sampling putting pop into clusters, use cluster as sample (eg one school to represent all schools of area)
systematic sampling use of sampling interval (k), choose partips based on randominterval repetitively, must choose partip in interval otherwise not probability sampling
sampling interval k = N/n
non probability sampling not all in pop have same prob of being selected, sampling from researchers' judgement, biased sample
convenience sampling choosing partips which are convenient based on geographical location, availability, volunteer sample
purposive sampling sampling based on certain characteristic or experience of desired sample
quota sampling same as stratified without access to whole pop, proportional and nonproportional
snowball sampling network sampling request those successfully sampled to recruit from own social networks
self selection bias unable to reach those who do not volunteer themselves
non-coverage bias not covering all bases of pop,,eg only reach ppl with laptop access in an online study
null hypothesis significance testing (NHST) testing whether signif results happened by chance or if results reflet actual phenomenon in society, (t test, chi sqaure, ANOVA, correlational)
descriptive stats summarise + organise data (mean, median, mode etc)
inferential stats allow to make inferences abt wider pop/phenomenon
p value critical value, cut off point deciding if results significant or not, usually 5%/0.05 (arbitrary)
alpha a, 5%, p value
beta B, 20%
power 1 - Beta
effect size quantifies size of effect of IV on DV
sample size number of ppl participating in study/supplying data
statistically significant can assume results did not happen by chance + reflect phenomenon of wider pop
type 1 error/false positive falsely rejecting null hypothesis
type 2 error/false negative falsely failing to reject null hyp
point estimate best guess of population parameter
confidence interval plausible range of values of population parameter
variable types nominal, ordinal, interval, ratio
nominal binary responses
ordinal ordered scale, undefined interval btwn values(likert scale)
interval no true zero, equal intervals btwn values
ratio interval with true zero, no values below zero
Cross-Tabulation Chi-Square Test describe relashe btwn 2 categorical variables, know how one variable associated w distribution of outcomes in another variable (diff btwn proportions of 2 variables), determine expected frequencies, each partip only come up once
One-sample t-test test if mean of random sample differs from known mean of larger pop (H0=means are equal btwn sample and pop)
One-sample Wilcoxon signed-rank test non-parametric equivalent of one-sample t-test, compares median of sample against a single value
Residuals difference btwn actual dat point and sample mean
one-sample t test assumptions 1. continuous DV (interval or ratio data) 2. dat is independent (no relashe btwn observations) 3. no extreme outliers 4. normality (residuals normally distributed
Effect size strength of relationship shown, Cramer's V
chi-square test assumptions 1. dat is categorical 2. observations are independent (value of one obs does not affect value of another) 3. cells in table are mutually exclusive (each dat point belongs to only one cell in table) 4. expected frequencies are sufficiently large
paired sample t test - testing if significant diff btwn 2 groups of related data - within participant design - data taken before and after intervention
paired sample t test other names - repeated measures t test - matched sample t test - within subject t test
mu population mean
paired t test comp to one sample t test paired t test = replace sample mean w average of diffs of paired scores + set pop mean to 0 - a paired t test is like a onesample t test on the diffs btwn pairs of scores, assuming pop mean is 0
paired sample degrees of freedom df = n -1
assumptions of paired sample t test - dv = interval or ratio (continuous) - iv = nominal or ordinal w exactly 2 levels (categorical) - dat is independent, no missing values (2 from each partip, each pair from diff partips) - normality (residuals are normally dist)
residuals calculation residuals = difference score - mean difference
paired sample t test procedure 1. sum up all results for both time points 2. calc mean + sd for each time point 3. calc difference scores for each partip, cal mean + sd of diff scores 4. plot figure (scores at diff time points or difference scores) 5. check assumptions
paired test step 6. compute t test w formula if t > critical value = significant if t < critical value = not signif
paired t test step 7. calc standardised effect size - cohen's d = mean of differences/sd of differences - interp -> 0.20 = small, 0.60 = med, 0.80 = large effect
non parametric equivalent of paired t test - applies if any assumptions violated - Wilcoxon signed-rank test (dat needs to be ordinal, interval or ratio, needs ind. scores)
wilcoxon signed-rank test proc - data ranked first (absolute value) - nhst applied by comp observed ranks associated w pos + neg differences - H0=assume ranks evenly dist around 0 - signif result = ranks not evently dist around 0
two sample t-test - tests if signif difference btwn 2 groups of unrelated data - compare two groups/conditions where partips are diff in each group (between groups design)
other names for two sample t-test - independent sample t-test - btwn subject t-test - unpaired/unrelated t-test
2 versions of two sample t test - student t test - welch t test - difference = assumption of homogeneity
non parametric two sample t test Mann-Whitney U-test
two sample t test assumptions - continuous dv and categorical iv (with 2 lvls) - independent dat (partips only belong to 1 grp) - homogeneity of variance (student t-test only) = aka homoscedasticity, variance btwn groups are equal - normality (residuals = normally dist)
variance sd^2
welch t test assumes by default that variances are unequal - unequal variance = heteroscedasticity - recommended, as gives same results when variances are equal as student and more accurate results when variances are unequal
welch t test df - tend to have decimals (how to distinguish btwn welch + student t test)
correlational research - non experimental research, find if 2 variables realted to each other - little/no control over extraneous cariables - if two variables associated = correlated = covary - correlation IS NOT causation
3rd variable problem unmeasured/unintended variable (may have effect, unable to control)
characteristics of correlational relationship - strength - direction
direction of correlation - pos or neg
positive correlation - variables move in same direction - one goes up/down, so does other
negative correlation - variables move in opposite direction - one goes up other goes down, vice versa
strength of correlation - variance/variability = quality of idff in scores of variables
covariance - measure of how 2 variables vary/change together - if covariance is positive = positive relashe
calculating covariance (description of formula) 1. for each partip, subtract their value from mean for both variables, mult tgthr to get one value for each partip 2. sum all of values from step 1 3. divide by numb of obs minus 1
problem w covariance as measure of relashe - sensitive to units of measurement of variables (covariance may be large becuase units are large, not because relashe is strong) - cov in hrs - 87.78, converted to mins = 316,008 - solush = standardised covariance
standardised covariance - divide covariance by product of stand dev of both variables - get correlation coefficient = r(x,y)
correlation coefficient - numerical value ranging from -1.00 to 1.00 - closer to -1 or 1 = stronger correlation - 1/-1 = perfect neg/pos relashe - strong = 0.7-9 - moderate = 0.4-0.6 - weak = -0.1-0.3 - 0 = no relashe
parametric correlational analysis Pearson's product moment correlation
assumptions of pearsons product moment 1. both variables = continuous dat (interval/ratio) 2. related pairs = 2 dat points from each partip 3. ind of obs 4. lintearity = relashe btwn variables is linear 5. normality of residuaks 6. homoscedasticity 7. no outliers
linearity assumption for pearsons residuals vs fitted plot - residuals = y axis - fitted (predicted) valuyes = x axis - lookinfg for roughly flat horizontal line
normality of residuals assumption pearsons Q-Q plot - majority of values should fall on/close to diagnoal red line
homoscedasticity for pearsons - variability/spread of one variable remains constant across range of another variable scale-location plot - roughly random spread of points as move from one end to other - red line roughly flat + horizontal
visualise relashe btwn 2 continuous variables scatterplot
non parametric correlation test spearman's correlation coefficient - for when one of pearsons assumptions = violated (eg one variable = ordinal dat)
spearman's correlatin coefficient - calc relashe based on rank order of dat, rather than actual values
spearmans proc 1. rank scores for each var separately 2. calc diffs btwn ranked pairs 3. square diffs 4. sum squared diffs 5. complete spearman's formula
tied observations - when 2+ obs/partips have same value - Spearman's NOT sued w tied ranks - when obs appears more than 1ce = sum of natural ranks/numb of times value apprs in data set
tied observations pearsons 1. subtract observations from mean, multiply to get one value for each obs 2. sum all values from step 1 3. diide by numb of obs
comparing two correlations eg: comp whether correlation self esteem + depression is significantly diff from correlation btwn self esteem + anxiety - dependent or indep correlations
dependent correlations - share common variable, come from same sample
independent correlations - same variables, diff groups - comparing corr btwn study hours + statistical anxiety in students who like maths and DO NOT like maths
correlation vs regression corr - how strongly two vars relate to each oth (strength + direc) regresh - determines if 1 var predicts/expl another var
predictor variable aka - independent var - explanatory var - x variable (in regression model)
outcome variable aka - dependent var - criterion var - y variable
simple linear regression one predictor var predicting one outcome variable
multiple linear regression two or more predictor variables predicting one outcome var
H0 phrasing linear regression *predictor var* does not significantly predict *outcome var*
mean model - uses average of all outcome scores - regardless of predic var, predict outcome var as same/mean - not good model. does not capture dat well
line of best fit model - ajudst predicted value based on x - line of best fit = regresh line - predicted y score for each x
residual - diff btnw regresh line/predicted score vs actual score formula = actual value-pedicted value aka error (smaller dist btwn actual val + regresh line = better predic, lower error)
positive residual - actual value ABOVE regresh line - model underestimates outcome (y) var based on predictor (x) var - actual y is higher than predicted - y is more likely than predicted
negative residual - actual val BELOW regresh line - model overestimates outcome (y) var based on predictor (x) var - actual y is lower than expected - y is less likely than predicted
simple linear regression equation Yhat = b0 + b1X Yhat = predicted outcome based on regresh mod X = predictor var b0 (betea-zero) = intercept, predicted Y when x=0 b1 (beta-one) = slope, change in predicted Y for each 1 unit increase in X
assumptions of simple linear regresh 1. outcome var = continuous 2. predictor var = continuous or 2 lvl categorical 3. ind obs (each score from diff partip) 4. non zero variance 5. linearity (linear relash btwn vars) 6. normality of residuals (residuals = norm dist) 7. homoscedas
non zero variance - predic var must var - not all values same across scores (need spread) - lack of variability (everyone w same score) = imposs to examine var relashe
homoscedasticity of simple linear regresh - variance of residual is constant along values of predictor variable - check w scale-location plot, testing hyp of (non-) constant error, Breusch-pagan test
analysing simplie linear regresh results R^2 F-test Regression coefficient (b)
r- squared - coefficient of determination - indicator of goodness of fit - proporsh of variability in outcome variable that is explained by the predictor variable - varies btwn 0 and 1
R^2 = 0.00 - no variance of outcome var explained by predic variable
R^2 = 1.00 - perfect prediction (pred var perf predicts outcome var - all variance in outcome var explained by predictor var
R^2 = 0.8 80% of variance in outcome var explained by predictor var - remaining 20% of variance may be due to extraneous vars not incl in model
F-test tells if R^2 + regresh model as whole is statis signif - explains stat signif protion of variation in outcome var
relashe btwn R^2 and F-test R^2 = how much of variance is explained F - test = whether what is explained is stat signif (or occurring by chance)
adjusted R^2 - adjusts R^2 for numb of predictors in model - provides more acc measure of goodness of fit - tells us more abt model acc when more than one predic var is used
unstandardised regression coefficient b - slope if b = 0.30, w every 1 unit incr of predictor var expect outcome var to increase by 0.30
degrees of freedom simple linear regression df1(regression df) = numb of predictors - 1 df2(residual df) sample size - numb of predictors - 1
effect size for simple linear regression cohen's f^2
pos regresh coefficient predict + outcome var move in same direction - b = 2,5
neg regresh coeff predict + outcome vars move in opp directions - b = -0.80
Created by: melissa.sjolin
 

 



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