Research Methods for the Behavioral Sciences
5th Edition
ISBN: 9780357231913
Author: Frederick J Gravetter; Lori-Ann B. Forzano
Publisher: Cengage Limited
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Chapter 14, Problem 6E
Why is it necessary to have a stable pattern within a phase?
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Chapter 14 Solutions
Research Methods for the Behavioral Sciences
Ch. 14.1 - Describe the goal of single-case research and...Ch. 14.2 - Describe the purpose of a phase in a single-case...Ch. 14.2 - Prob. 3LOCh. 14.3 - Describe the structure of an ABAB reversal design...Ch. 14.3 - Identify the strengths and weaknesses of an ABAB...Ch. 14.3 - Explain the circumstances in which an ABAB...Ch. 14.4 - Describe the structure of a multiple-baseline...Ch. 14.4 - Identify the strengths and weaknesses of a...Ch. 14.5 - Identify the general advantages and disadvantages...Ch. 14.5 - Describe the strengths and weaknesses of the...
Ch. 14 - Prob. 1ECh. 14 - Prob. 2ECh. 14 - Traditional statistics (means, variances, and...Ch. 14 - What is the primary factor that determines when it...Ch. 14 - What pattern of results is needed to provide...Ch. 14 - Why is it necessary to have a stable pattern...Ch. 14 - Identify the four phases that make up an ABAB...Ch. 14 - In general, how does a phase-change design like...Ch. 14 - Explain why an ABAB reversal design is...Ch. 14 - Prob. 10ECh. 14 - Prob. 11ECh. 14 - Prob. 12ECh. 14 - Prob. 13ECh. 14 - Prob. 14ECh. 14 - Suppose (hat a complex therapy procedure contains...Ch. 14 - Prob. 1EACh. 14 - Suppose a researcher uses a multiple-baseline...Ch. 14 - Suppose that a complex therapy procedure contains...
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- What is the phase-line diagram of the function dP/dt = P3- 3P2 - 28Parrow_forwardDescribe the qualitative behavior of the differential equation by locating all the equilibrium points (fixed points) and graphing the phase trajectory in the phase plane.arrow_forwardFind the equilibrium solutions and analyze the stability using the phase diagram.arrow_forward
- The stability type of the equilibrium at y = 3 in this phase line is 3 -3 unstable stable asymptotically stable semi-stablearrow_forwardThe Different Effects of Excitation and Inhibition in Neural Circuit (series #1)| Neural circuit consists of polysynaptic neural network, combination of excitatory and inhibitory neurons. This exercise helps to understand the effects of excitation and inhibition in the nervous system. Our body is dynamically active under physiology condition. As a result, there are basal levels of activity such as 70 beats/min of heart rate at resting condition. Either increased or decreased activities are relative to the baseline. The effects of excitation are easily understood---one neuron activates another neuron. However, when inhibition is introduced into circuits, analysis become more complicated. In fact, the numbers of inhibitory neurons in the circuit determine the final effect of the circuit, which can be excitation or inhibition, on the target organ or area. We assume all excitatory and inhibitory neurons are glutamate and GABA neurons, respectively, in this practice sheet. The glutamate and…arrow_forwardFind the equilibria solutions Plot the phase lineFor each equilibrium solution, determine if it is asymptotically stable, semistable or unstable.arrow_forward
- How does the phase portrait behave for each of the equilibrium points after we linearize the nonlinear system?arrow_forwardConvert the equation into a first-order linear differential equation system with an appropriate transformation of variables.arrow_forwardcharacterize the equilibrium point for the system x′= Ax and sketch the phase portrait.arrow_forward
- Consider the continuous-time dynamical system given by the ODE & = -x. (a) Determine the explicit solution and sketch the dynamics in both the phase space and the extended phase space. (b) Determine the equilibria.arrow_forwardSketch phase lines and graph the solutions that satisfy the given initial condition on a single pair of axes.arrow_forwardThe longitude, rt of an air plane is affected by a random component e, due to the wind effect and its speed t It = -1 + 20t-1 + 6t. The speed of the plane is affected by a constant global linear trend, ß = B₁-1 = 3, and varies randomly due to weather conditions, v₁ = V₁-1 + B₁-1+w₂. In the above equations, is assumed to be white Gaussian noise with zero mean and o = 3. Similarly w is assumed to be white Gaussian noise with zero mean and 2,=0.5. A GPS transmitter mounted on the plane sends a noisy measurement to a receiver about its position, X₁ = 0.5xt + nt, where n, is assumed to be white Gaussian noise with zero mean and o2 = 2. (a) Using the following definition for the state vector, 0t. 0₁ It + ve B₂ write the motion of the plane in state space form. Note: You need to provide the exact form of the h, G and W matrices. (b) Evaluate the initial estimate for the state vector 03-arrow_forward
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