Building on previous studies (e.g., Kivlighan, 2007), we explored the application of actor-partner interdependence modeling (APIM) and the common fate model (CFM) in a multilevel framework to examine the dyadic multilevel associations between therapists' and clients' perceptions of working alliance and session quality. Forty-four therapists and their 284 adult community clients completed measures of working alliance and session quality after every session (a total of 8,188 sessions included in this study). We used APIM to unravel the mutual interdependence between therapist and client perceptions and used CFM to model both the shared and individual perceptions of the therapists and clients. APIM analyses showed that, at the between-session level, therapist and client perception of the session quality each was significantly predicted by the other's perception of the working alliance. At the between-client level, only therapist perception of the session quality was significantly predicted by the client's perception of the working alliance. There were no significant partner effects at the betweentherapist level. CFM analyses showed that therapist-client shared perceptions of working alliance significantly predicted their shared perception of session quality at all three levels. In contrast, individual perceptions of working alliance correlated with individual perceptions of session quality for therapists only at the between-therapist and between-session levels, and for clients only at the between-client and between-session levels. Theoretical, methodological, and practical implications are discussed. Public Significance StatementThis study proposes two methods to model dyadic data longitudinally and at multiple levels. Results suggest that therapists' and clients' perceptions mutually influence each other and that it is important to develop shared, collective perceptions of the therapy process.

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This paper present a Giant Magnetostrictive Actuators (GMA) which used magnetostrictive characteristics of Giant Magnetostrictive Material (GMM) and is applied on Micro displacement of precision instrument. Since GMM is influenced by temperature and the electrified coils generating magnetic field are the main sources of heat in GMA, so the temperature impacts factors on the output displacement of magnetostrictive material are analyzed firstly, and also a control method based on existing magnetostrictive actuators is redesigned, while model is established according to the relation between output displacement and voltage values. Finally a solution is proposed about heat compensation control in GMA, and also adds a water cooling system to the cavity of GMA and controls the temperature of cooling water by Single Chip Microcomputer (SCM) according to the detected temperature of magnetostrictiverod; therefore compensations for the GMAs feed displacement are allocated. Displacement closed-looped PID controls are used to tests, which can proves that the heat compensation control system of GMA can lower the impact of increasing temperature on GMMs magnetostriction coefficient and increase positioning accuracy.

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