问题


There is a single choice question about high school statistics. Answer the question by replying A, B, C or D.
Question: A chi-squared test of independence is to be performed on a 3 × 4 contingency table. How many degrees of freedom does this test have?
A. 6
B. 8
C. 10
D. 11
Answer:

答案

模型 模型答案 正确答案
金声玉亮2.0

A. 6

Explanation: The degrees of freedom for a chi-squared test of independence is calculated as (r-1) × (c-1), where r is the number of rows and c is the number of columns in the contingency table. In this case, the table has 3 rows and 4 columns, so the degrees of freedom is (3-1) × (4-1) = 2 × 3 = 6.		 A
deepseekr1

The degrees of freedom for a chi-squared test of independence in a contingency table are calculated as \((\text{rows} - 1) \times (\text{columns} - 1)\). For a 3×4 table, this is \((3-1) \times (4-1) = 2 \times 3 = 6\).

**Answer:** A. 6		 A
gpto1 A A
GPT-4o B. 8 A
llama3.1-70B-Instruct

A		 A
llama3.1-405B-Instruct

A. 6

The degrees of freedom for a chi-squared test of independence on a contingency table is calculated as (number of rows - 1) × (number of columns - 1). In this case, the table has 3 rows and 4 columns, so the degrees of freedom is (3 - 1) × (4 - 1) = 2 × 3 = 6.		 A
DeepSeek-Coder-V2 A A
Qwen2-72B-Instruct B. 8 A
baichuan4 C A
doubao A

For a contingency table with r rows and c columns, the degrees of freedom for a chi-squared test of independence is (r - 1) * (c - 1). In this case, for a 3 × 4 contingency table, it is (3 - 1) * (4 - 1) = 2 * 3 = 6 degrees of freedom.		 A
minimax The degrees of freedom for a chi-squared test of independence in a contingency table are calculated by the formula:

Degrees of freedom (df) = (number of rows - 1) * (number of columns - 1)

For a 3 × 4 contingency table:

df = (3 - 1) * (4 - 1)
df = 2 * 3
df = 6

So the correct answer is:

A. 6		 A
kimi The degrees of freedom for a chi-squared test of independence can be calculated using the formula:

Degrees of freedom = (number of rows - 1) * (number of columns - 1)

For a 3 × 4 contingency table, the calculation would be:

Degrees of freedom = (3 - 1) * (4 - 1) = 2 * 3 = 6

Answer: A. 6		 A
wenxinyiyan A chi-squared test of independence for a contingency table has degrees of freedom calculated as (r - 1) * (c - 1), where r is the number of rows and c is the number of columns in the table.

Given a 3 × 4 contingency table, we have:
r = 3 (number of rows)
c = 4 (number of columns)

Degrees of freedom = (3 - 1) * (4 - 1) = 2 * 3 = 6

So, the chi-squared test of independence for this 3 × 4 contingency table has 6 degrees of freedom.

The answer is A. 6.		 A
zhipu The degrees of freedom for a chi-squared test of independence in a contingency table is calculated using the formula:

\[ \text{Degrees of Freedom} = (r - 1) \times (c - 1) \]

where \( r \) is the number of rows and \( c \) is the number of columns.

For a 3 × 4 contingency table:
- \( r = 3 \)
- \( c = 4 \)

Plugging these values into the formula:

\[ \text{Degrees of Freedom} = (3 - 1) \times (4 - 1) = 2 \times 3 = 6 \]

So, the correct answer is:

A. 6		 A
gpto1 A A
deepseekv3 The degrees of freedom for a chi-squared test of independence on a contingency table is calculated using the formula:

\[
\text{Degrees of freedom} = (r - 1) \times (c - 1)
\]

where \( r \) is the number of rows and \( c \) is the number of columns.

For a 3 × 4 contingency table:

\[
\text{Degrees of freedom} = (3 - 1) \times (4 - 1) = 2 \times 3 = 6
\]

The correct answer is:

**A. 6**		 A