The researchers of this study investigated the impact of various counselling therapies on participants' wellbeing. It was hypothesised that: (1) participants undertaking CBT would report increase wellbeing scores compared to participants undertaking 'psychoanalysis' therapy, and (2) participants undertaking psychoanalysis therapy would report more wellbeing compared to participants exposed to behavioural therapy. If I was to use a 1 way ANOVA for this Analysis what analysis would I use for the following question? -

After examining their results (from Part A) the researchers were interested in including an additional variable into their model: mental health diagnosis (there are two categories of mental health diagnosis accordingly if the participant has a diagnosed mental health disorder or not 0=no; 1= yes). This new study consists of the following hypotheses: (1) participants undertaking CBT would report increase wellbeing scores compared to participants undertaking 'psychoanalysis' therapy, AND behavioural therapy and (2) this difference in wellbeing would differ for participants who have a mental health diagnosis compared to those who do not have a mental health diagnosis.

Would this be a 2 way ANOVA?

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The primary aim of this hypothetical study was to investigate the factors which affect wellbeing and coping skills. A random sample of Australians took part in a study. This assignment relates to the SPSS data file Assignment2.sav. The variables in the data file are described below: ID Variable/Variable Label Gender Information on the data collected Variable coding 1 = males 2 = females 1 = younger (18-35) Age [Age Group] 2 = older (36-48) Wellbeing Coping [Coping Skills] BMI [BMI categories] Therapy [Counselling Therapy] Depression [Depression symptoms] Employment [Work Status] MH [Mental Health diagnosis] Income [Household income] Education Program [Program Mode] NA 1 = Underweight 2 = Normal range 3 = Overweight 1 = Psychoanalysis therapy 2 = Cognitive Behavioural Therapy (CBT) 3 = Behavioural therapy NA 0 = Not working 1 = Currently working 0 = No 1 = Yes 0-secondary 1=high school 2= diploma/degree 1-face to face therapy 2=group therapy 3-online therapy Variable description The identification number allocated to each participant Participant's gender Baby's background / culture (as identified by the parents) A measure of total amount of wellbeing as self- reported by participants on a scale, where higher scores represent higher wellbeing Coping skills The BMI category based upon the calculated BMI Type of therapy the participant had The degree to which participants experienced a sense of hopelessness and feelings of lethargy and sadness. Depression was measured on a metric scale taking values from 0 to 25, whereby higher scores indicate a greater depression. Whether the participant is currently working Whether the participant is currently having a mental health diagnosis Household's income Participants education level Program's mode of delivery