Independent Operation

Independent operation is the ability of a physical system, device, or process to function without continuous control or intervention from an external system. It occurs when the system’s internal dynamics, energy supply, and governing boundary conditions allow it to maintain its behavior on its own, often through feedback or autonomous control. In physics, this concept helps distinguish intrinsic system behavior from effects imposed by an operator or surrounding apparatus. Studying independent operation supports the design of autonomous instruments, self-regulating experiments, and reliable models of isolated or weakly coupled systems, while clarifying how external interactions influence measurements and system performance.

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JoVE Core - Statistics

Introduction to Test of Independence

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2025

In statistics, the term independence means that one can directly obtain the probability of any event involving both variables by multiplying their individual probabilities. Tests of independence are chi-square tests involving the use of a contingency table of observed (data) values. The test statistic for a test of independence is similar to that of a goodness-of-fit test: where: O = observed values E = expected values (which should be at least 5) A test of independence determines whether...

Hypothesis Test for Test of Independence

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2023

The test of independence is a chi-square-based test used to determine whether two variables or factors are independent or dependent. This hypothesis test is used to examine the independence of the variables. One can construct two qualitative survey questions or experiments based on the variables in a contingency table. The goal is to see if the two variables are unrelated (independent) or related (dependent). The null and alternative hypotheses for this test are: H0: The two variables (factors)...

Manipulating an Independent Variable through Embodiment

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2023

Source: Laboratories of Gary Lewandowski, Dave Strohmetz, and Natalie Ciarocco—Monmouth University In any experiment, the researcher attempts to manipulate participants in one group to have different thoughts, experiences, or feelings than the other groups in the study. Some manipulations are overt, while others can be quite subtle. Embodiment is a growing research area focused on the theory that subtle physical experiences can unconsciously influence a person’s thoughts. For example if a...

Law of Independent Assortment

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2026

While Mendel’s Law of Segregation states that the two alleles for one gene are separated into different gametes, a different question of how different genes are inherited remains. For example, is the gene for tall plants inherited with the gene for green peas? Mendel asked this question by experimenting with a dihybrid cross; a cross in which both parents are homozygous for two distinct traits resulting in an F1 generation that are heterozygous for both traits.Let’s think of two homozygous...

Independent and Dependent Sources

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2024

In electrical circuits, sources play a crucial role in providing power for the operation of the circuit. These sources can be broadly categorized into two types: independent and dependent. Independent voltage or current sources supply a fixed amount of voltage or current, respectively, which is unaffected by other elements within the circuit. These are represented using specific symbols. Independent voltage sources are symbolized with polarities (+ and -), indicating the direction of the...

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