Skip to main content

Table 3 Difference analysis between portions of number of states in assignment setting to its occurrence frequency

From: Model-based analysis of thinking in problem posing as sentence integration focused on violation of the constraints

Assignment

 

Number of violated constraints

Setting vs occurrence

0

p

1

p

2

p

3

p

4

p

5

p

Chi-square

p

1

Setting

occurrence

0.238

0.230

â–¼

0.190

0.370

â–²

**

0.143

0.217

â–³

+

0.190

0.103

â–¼

*

0.214

0.077

â–¼

**

0.024

0.003

â–½

+

<0.01

**

2

Setting

occurrence

0.286

0.523

â–²

**

0.214

0.316

â–²

*

0.190

0.080

â–¼

**

0.214

0.071

â–¼

**

0.048

0.003

â–¼

**

0.048

0.006

â–¼

**

<0.01

**

3

Setting

occurrence

0.308

0.510

â–²

**

0.192

0.189

â–½

0.192

0.161

â–½

0.231

0.107

â–¼

**

0.077

0.034

â–½

  

<0.01

**

4

Setting

occurrence

0.324

0.541

â–²

**

0.147

0.196

â–³

0.176

0.087

â–¼

*

0.265

0.167

â–¼

*

0.088

0.009

â–¼

**

  

<0.01

**

5

Setting

occurrence

0.324

0.649

â–²

**

0.191

0.191

 

0.265

0.044

â–¼

**

0.132

0.103

â–½

0.088

0.013

â–¼

**

  

<0.01

**

6

Setting

occurrence

0.324

0.520

â–²

**

0.147

0.190

â–³

0.176

0.131

â–½

0.265

0.151

â–¼

*

0.088

0.007

â–¼

**

  

<0.01

**

7

Setting

occurrence

0.324

0.500

â–²

**

0.147

0.189

â–³

0.176

0.149

â–½

0.265

0.139

â–¼

**

0.088

0.024

â–¼

*

  

<0.01

**

8

Setting

occurrence

0.434

0.696

â–²

**

0.081

0.077

â–½

0.265

0.117

â–¼

**

0.132

0.077

â–½

0.088

0.034

â–½

+

  

<0.01

**

9

Setting

occurrence

0.324

0.546

â–²

**

0.147

0.170

â–³

0.176

0.106

â–½

+

0.265

0.153

â–¼

*

0.088

0.025

â–¼

*

  

<0.01

**

10

Setting

occurrence

0.423

0.552

â–²

*

  

0.269

0.256

â–½

0.231

0.161

â–½

0.077

0.031

â–½

+

  

<0.10

+

11

Setting

occurrence

0.500

0.912

â–²

**

0.071

0.018

â–¼

*

0.143

0.055

â–¼

*

0.048

0.004

â–¼

**

0.143

0.011

â–¼

**

0.095

0.000

â–¼

**

<0.01

**

12

Setting

occurrence

0.333

0.585

â–²

**

0.119

0.118

â–½

0.143

0.094

â–½

0.262

0.180

â–½

+

0.095

0.016

â–¼

**

0.048

0.007

â–¼

*

<0.01

**

  1. **Significant difference (p < 0.01), *significant difference (p < 0.05), +marginal difference (p < 0.1); occurrence is more than setting (▲ significant, △ not significant); occurrence is less than setting (▼ significant, ▽ not significant)