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Serial-position effect is the tendency of a person to recall the first and last items in a series best, and the middle items worst. [1] The term was coined by Hermann Ebbinghaus through studies he performed on himself, and refers to the finding that recall accuracy varies as a function of an item's position within a study list. [ 2 ]
Autocorrelation, sometimes known as serial correlation in the discrete time case, is the correlation of a signal with a delayed copy of itself as a function of delay. Informally, it is the similarity between observations of a random variable as a function of the time lag between them.
Serial position errors have been discussed earlier, in relation to the primacy and recency effect. These errors have been found to be independent from other errors, such as acoustic errors. Acoustic errors result from items that are phonologically similar. An example of this would be recalling "B" as opposed to the actual item "P".
Its complementary cumulative distribution function is a stretched exponential function. The Weibull distribution is related to a number of other probability distributions; in particular, it interpolates between the exponential distribution ( k = 1) and the Rayleigh distribution ( k = 2 and λ = 2 σ {\displaystyle \lambda ={\sqrt {2}}\sigma } ).
Experiments have shown that in comparison to free recall, the serial recall learning curve increases linearly with the number of trials. The purpose of a study by Bruner, Miller, and Zimmerman (1955) was to determine if this learning difference is a result of the order in which the participant sees the items, or if it is instead dependent on ...
The above procedure now is reversed to find the form of the function F(x) using its (assumed) known log–log plot. To find the function F, pick some fixed point (x 0, F 0), where F 0 is shorthand for F(x 0), somewhere on the straight line in the above graph, and further some other arbitrary point (x 1, F 1) on the same graph.
A sigmoid function is any mathematical function whose graph has a characteristic S-shaped or sigmoid curve. A common example of a sigmoid function is the logistic function , which is defined by the formula: [ 1 ]
One common correlation function is the radial distribution function which is seen often in statistical mechanics and fluid mechanics. The correlation function can be calculated in exactly solvable models (one-dimensional Bose gas, spin chains, Hubbard model) by means of Quantum inverse scattering method and Bethe ansatz. In an isotropic XY ...