REGRESSION AND CORRELATION ANALYSIS

QUESTION

  1. 1.           What type of research design best describes the comparison on EEG activity? Explain your answer.               (2 marks)
  2. 2.           Comment briefly on the main variables that might need to be controlled for when making group comparisons here.

(2 marks)

  1. 3.           For the ADHD group only, present a histogram that shows the distribution of scores for EEG activity.  Comment on whether this plot appears to be normally distributed.

(3 marks)

  1. 4.           Generate descriptive statistics (means and standard deviations) for each group and the total sample on EEG activity and vocabulary. Present these results in a table.

                        (6 marks)

  1. 5.           Present a bar chart that compares the performance of the three groups on vocabulary.  (Include error bars). Comment on the apparent differences between groups.
    (4 marks)
  2. 6.           Tabulate (i.e., provide a table) changes in mean levels of maladaptive behaviour for each group.  Comment on the pattern of group differences.
    (3 marks)
  3. 7.           For each group, calculate the correlation between EEG activity and vocabulary. Present scatterplots showing this relationship in each group. (Note the range of the axes on all graphs should be the same – you will to adjust using the Chart Editor function). Comment on whether there appear to be any outliers (hint: for one the groups, this does appear to be the case).  For the group in question, remove the obvious outlier(s) and re-calculate the correlation (citing the participant number removed). Comment on any change in correlation with the outlier removed.

(6 marks)

8.       For the total sample, does there appear to be a gender difference on baseline (or Time 1) levels of maladaptive behaviour?  Present the results of this “eye-ball” analysis (i.e., provide a boxplot). Comment on any differences in the boxplots.

SOLUTION

Answer 1

There are three types of groups namely ADHD, Autism, and typically developing children. We want to compare the three types of children using EEG. We compare the children by using descriptive statistics, correlation, and regression analysis and using some diagrams like Histogram, Bar diagram etc.

Answer 2

In this dataset  the main variables are EEG, group and verbal ability because EEG measured over the prefrontal cortex while they complete a test of response inhibition, the Go-NoGo Task. High scores on this task indicate greater levels of activity.  Verbal ability is measured on a test of vocabulary. Group indicates the comparison between three groups. So, EEG and Vocabulary test  are the key variables.

Answer 3

For the ADHD group I present a histogram that shows the distribution of scores for EEG activity.

 

Answer 4

 

Here  we generate a descriptive statistics for the three groups and the total sample on EEG activity and vocabulary and it represents in a table below. Here we include number of observations, mean and standard deviations for three groups of EEG and Vocabulary and we mention total result also.

 

TABLE: MEAN AND STANDARD DEVIATION FOR THREE GROUPS OF EEG AND VOCABULARY

 

EEG activity level N Mean

For EEG

Std. Deviation

For EEG

Mean

For vocabulary

Std. Deviation

For  vocabulary

ADHD 20 1.8850 .95271 7.0400 1.42104
Autism 20 1.9700 .99689 5.8500 1.87967
Control 20 3.2850 1.49746 10.7700 1.49000
Total 60 2.3800 1.32368 7.8867 2.64014

 

Answer 5:

Here I present a bar chart that compares the performance of the three groups on vocabulary.  (Include error bars).

 

First bar represents the mean verbal ability for the group ADHD and also show the error bars with 95% confidence interval.

Second bar represents the mean verbal ability for the group Autism and also show the error bars with 95% confidence interval.

Third bar represents the mean verbal ability for the group Control and also show the error bars with 95% confidence interval.

Here we see that Control group provides good scores comparably to other two groups. But ADHD and Autism provide almost same scores.

 

 

 

 

Answer  6:

Here I create table for changes in mean levels of maladaptive behavior for each group. In this dataset maladaptive scores are recorded at 4 different time points. I consider here in the table below the mean difference of scores for three groups at the 4 time points. The difference and the significance are mentioned briefly at the table below.

                                                           Multiple Comparisons
LSD
Dependent Variable (I) group (J) group

Mean Difference (I-J)

Std. Error

Sig.

Level of maladaptive behaviour – time 1 (baseline) ADHD Autism

.20000

.31000

.521

Control

4.03000*

.31000

.000

Autism ADHD

-.20000

.31000

.521

Control

3.83000*

.31000

.000

Control ADHD

-4.03000*

.31000

.000

Autism

-3.83000*

.31000

.000

Level of maladaptive behaviour – time 2 ADHD Autism

-.58000

.34914

.102

Control

1.17000*

.34914

.001

Autism ADHD

.58000

.34914

.102

Control

1.75000*

.34914

.000

Control ADHD

-1.17000*

.34914

.001

Autism

-1.75000*

.34914

.000

Level of maladaptive behaviour – time 3 ADHD Autism

-1.10500*

.18729

.000

Control

-1.02000*

.18729

.000

Autism ADHD

1.10500*

.18729

.000

Control

.08500

.18729

.652

Control ADHD

1.02000*

.18729

.000

Autism

-.08500

.18729

.652

Level of maladaptive behaviour – time 4 ADHD Autism

-.05500

.26261

.835

Control

-.21500

.26261

.416

Autism ADHD

.05500

.26261

.835

Control

-.16000

.26261

.545

Control ADHD

.21500

.26261

.416

Autism

.16000

.26261

.545

*. The mean difference is significant at the 0.05 level.

 

 

 

 

 

 

 

 

Answer 7:

For each group, I calculate the correlation between EEG activity and vocabulary. And I present scatter plots showing this relationship in each group. In the table below we consider the correlation between verbal ability and EEG in the three groups.

 

 

 

 

 

 

 

 

 

 

                                                              

 

 

 

 

   Correlations

 

group

EEG activity level over prefrontal cortex

Verbal ability

ADHD EEG activity level over prefrontal cortex Pearson Correlation

1

.007

Sig. (2-tailed)

.975

N

20

20

Verbal ability Pearson Correlation

.007

1

Sig. (2-tailed)

.975

N

20

20

Autism EEG activity level over prefrontal cortex Pearson Correlation

1

-.010

Sig. (2-tailed)

.966

N

20

20

Verbal ability Pearson Correlation

-.010

1

Sig. (2-tailed)

.966

N

20

20

Control EEG activity level over prefrontal cortex Pearson Correlation

1

.268

Sig. (2-tailed)

.253

N

20

20

Verbal ability Pearson Correlation

.268

1

Sig. (2-tailed)

.253

N

20

20

 

 

 

 

 

Answer 8:

Here we show the gender difference into the three groups of maladaptive behavior  at time point 1.

 

Descriptives

Level of maladaptive behaviour – time 1 (baseline)
gender

N

Mean

Std. Deviation

Std. Error

95% Confidence Interval for Mean

Minimum

Maximum

Lower Bound

Upper Bound

female ADHD

10

7.3700

.98776

.31236

6.6634

8.0766

6.40

9.50

Autism

10

6.9200

1.37905

.43609

5.9335

7.9065

5.50

9.10

Control

10

3.2100

.75491

.23872

2.6700

3.7500

1.90

4.00

Total

30

5.8333

2.15971

.39431

5.0269

6.6398

1.90

9.50

male ADHD

10

7.3600

1.07103

.33869

6.5938

8.1262

6.00

8.80

Autism

10

7.4100

1.10599

.34975

6.6188

8.2012

5.90

8.70

Control

10

3.4600

.31693

.10022

3.2333

3.6867

2.90

3.90

Total

30

6.0767

2.07575

.37898

5.3016

6.8518

2.90

8.80

 

 

ANOVA

Level of maladaptive behaviour – time 1 (baseline)
gender

Sum of Squares

df

Mean Square

F

Sig.

female Between Groups

104.241

2

52.120

45.357

.000

Within Groups

31.026

27

1.149

Total

135.267

29

male Between Groups

102.717

2

51.358

62.359

.000

Within Groups

22.237

27

.824

Total

124.954

29

 

 

Multiple Comparisons

Level of maladaptive behaviour – time 1 (baseline)

LSD

gender (I) group (J) group

Mean Difference (I-J)

Std. Error

Sig.

95% Confidence Interval

Lower Bound

Upper Bound

female ADHD Autism

.45000

.47940

.356

-.5336

1.4336

Control

4.16000*

.47940

.000

3.1764

5.1436

Autism ADHD

-.45000

.47940

.356

-1.4336

.5336

Control

3.71000*

.47940

.000

2.7264

4.6936

Control ADHD

-4.16000*

.47940

.000

-5.1436

-3.1764

Autism

-3.71000*

.47940

.000

-4.6936

-2.7264

male ADHD Autism

-.05000

.40586

.903

-.8827

.7827

Control

3.90000*

.40586

.000

3.0673

4.7327

Autism ADHD

.05000

.40586

.903

-.7827

.8827

Control

3.95000*

.40586

.000

3.1173

4.7827

Control ADHD

-3.90000*

.40586

.000

-4.7327

-3.0673

Autism

-3.95000*

.40586

.000

-4.7827

-3.1173

*. The mean difference is significant at the 0.05 level.

 

 

We mention the box plot analysis for the male and females for the maladaptive behavior at time point 1. There be no such gender difference at time point 1 of maladaptive.

JC18

 

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