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Single sample  One-tailed versus two-tailed tests  t-test: Use Significance level (type I and II errors) Degrees of freedom (df) Two samples  Unpaired or independent samples t-test  Paired or dependent samples t-test Non-parametric statistics  Chi-square Test (χ2): Used with nominal variables in two independent categories   Works by comparing the actual scores to probability estimates Rank-order methods: Scores transformed into ranks  Wilcoxon matched-pairs signed ranks test: For dependent samples  Mann-Whitney U test: For independent samples Multigroup statistical methods  ANOVA (Analysis of Variance)  Saves time  Reduces probability of significance by chance  Rationale: Between group and within group variance  Is variability between groups > variability within groups  Statistic: F ratio and df  One-way ANOVA: Similar to independent samples t-test  Two-way ANOVA: Two independent variables  Two main effects and one interaction  Multiple comparison methods: Post-hoc tests  Scheffe (unequal sample size)  Tukey (equal sample size)  Randomized blocks ANOVA (RBANOVA): For repeated measures designs  Analysis of covariance (ANCOVA): Controls for variables that might affect data  Non-parametric multigroup tests  Friedman two-way analysis of variance  Kruskal-Wallis one-way analysis of variance Complex statistical methods  Multivariate ANOVA (MANOVA): More than one dependent variable  Discriminant analysis: Estimates the contribution of each dependent variable in separating groups.  Factor analysis: Organize observations into underlying constructs Research proposal outline   Title Abstract  Table of contents, budget, resources, biographical sketches  Research protocol  Specific aims  Background and significance  Methods  Ethical issues: IRB References  Title page  Title: Short, succint, unambiguous.   “A study to investigate physiological measures of anxiety and their relation to stuttering adaptation during oral reading trials under two levels of audience complexity” Investigator details (degree, affiliation, contact)  Agency to which being submitted  Abstract  100-200 words  Summary of proposed research  Budget: Equipment, subject payments, salaries, travel, consultants, administrative costs.  Biography: Education, skills, abilities. Resume, pilot studies, completed investigations, existing grants. Research protocol  Specific aims: Objectives, rationale  Background and significance: Existing knowledge, Priliminary work, Theoretical and practical consequences, Clinical applications.  Methods: Sampling, subjects, measurements, procedures, data analysis.  Ethical issues: IRB, human/animal subjects protection References   Appropriate citations  Watson, Jensen, Smith, and Kelly (1987)  Watson et al. (1987)  (Miller, 1991)  (Miller, 1991; Killion, 1992) Complete references.  Author (year). Title. Ear and Hearing, 36, 776-781. Writing  Concise, clear, efficient, effective  “ The results of the study indicated that when faced with hyperactive children with short attention spans (AD-HD) who were clearly unmotivated and who eventually became unresponsive to test stimuli because of their distractibility, clinicians were prone to modify their instructional techniques by terminating reinforcement followed by the introduction of a “time out” phase, during which time the training program was suspended for a period of few minutes or more.”  When the rate of the response being trained decreased by 10%, the clinicians suspended the training program for 5 to 10 minutes.  Resources: APA, AIP