Given below are two statements: Statement I: Chance or accidental errors in research will cause obtained results to depart from the true value as often in one direction or in another. Statement II: Systematic error causes obtained results in research to vary in a particular direction and is far more likely to catch the researcher by surprise than is chance error. In the light of the above statements, choose the most appropriate from the options given below:
Both Statement I and Statement II are correct
In research, errors are deviations from the true value that can affect the validity and reliability of findings. It's crucial for researchers to understand the different types of errors and how they can influence results. Broadly, errors can be classified into two main categories: chance (or random) errors and systematic errors.
Statement I says: "Chance or accidental errors in research will cause obtained results to depart from the true value as often in one direction or in another."
This statement describes the nature of chance or random errors very accurately. Here's why:
Because chance errors push results away from the true value in a non-systematic, bidirectional manner, Statement I is correct.
Statement II says: "Systematic error causes obtained results in research to vary in a particular direction and is far more likely to catch the researcher by surprise than is chance error."
Let's break down this statement:
Given that systematic errors cause a consistent, directional bias and can be harder to anticipate or detect compared to the random nature of chance errors, Statement II is also correct.
Here is a brief comparison:
| Feature | Chance (Random) Error | Systematic Error |
|---|---|---|
| Direction of Deviation | Random (in any direction) | Consistent (in a specific direction) |
| Effect on Results | Increases variability/scatter | Causes consistent bias/shift |
| Impact on Measurement Quality | Affects Precision | Affects Accuracy |
| Detectability | Often quantifiable statistically | Can be harder to detect; may require comparing to known standards or changing method |
| Likelihood of Surprise | Less likely (generally expected) | More likely (source may be hidden) |
Based on the analysis, both Statement I, describing the random and bidirectional nature of chance errors, and Statement II, describing the directional bias and potential for surprise associated with systematic errors, are accurate descriptions of these types of research errors.
| Error Type | Characteristics | Impact |
|---|---|---|
| Chance (Random) Error | Accidental, unpredictable deviation; occurs equally in positive/negative directions. | Reduces precision; increases variability. |
| Systematic Error | Consistent, repeatable deviation; always in the same direction (bias). | Reduces accuracy; shifts results away from the true value. |
Understanding and minimizing both types of errors is vital for conducting high-quality research. While random errors can be reduced by increasing sample size or repeating measurements and averaging, systematic errors require identifying and addressing their specific source.
Both types of errors can occur simultaneously in a research study, and researchers must be vigilant in trying to identify and minimize them to improve the reliability and validity of their findings.
Given below are two statements: One is labeled as Assertion A and the other is labeled as Reason R.
Assertion (A):- Research Hypothesis (H1) cannot be directly verified.
Reasons (R):- Null Hypothesis (H0) is helpful in making a claim by the researcher that his/her findings are not fortuitous or by chance.
In the light of the above statements, choose the most appropriate answer from the options given below:
When a researcher rejects a true 'Null Hypothesis' (H 0) in his/her study and accepts the 'Alternate Hypothesis' (H 1), what type of error is likely?
Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R
Assertion A: A proposition is a statement about observable phenomena (concepts) that may be judged as true or false.
Reason R: When a proposition is formulated for empirical testing, it is called a hypothesis.
In light of the above statements, choose the most appropriate answer from the options given below
Given below are two statements
Statement I: The context of discovery involves non‐rational, intuitive processes while the context of justification is based on logical processes.
Statement II: The process of hypothesis generation doesn't strictly follow rigorous logical reasoning.
In light of the above statements, choose the most appropriate answer from the options given below
Match List I with List II :
List I | List I | ||
(A) | Chi-square | (I) | Is used to determine the significance between group means. |
(B) | t-test | (II) | A procedure to decompose variation into two or more independent variables. |
(C) | ANOVA | (III) | Analyses the relationship between two or more independent variables and a single dependent variable. |
(D) | Multiple regression | (IV) | Produces a value that reflects the relationship between expected and observed frequencies. |