scholarly journals Visual Partitioning for Multivariate Models: An approach for identifying and visualizing complex multivariate dataset

2021 ◽  
Author(s):  
Dustin Fife

Users of statistics quite frequently use multivariate models to make conditional inferences (e.g., stress affects depression, after controlling for gender). These inferences are often done without adequately considering (or understanding) the assumptions one makes when claiming these inferences. A particularly problematic instance of assumption violations is with nonlinear and/or interactive effects. Many of these inferences are not merited because the inference is "contaminated" by the variables and their relationships within the model. In this paper, we highlight when conditional inferences are contaminated by other features of the model and identify the conditions under which variable effects are marginally independent. We then show a strategy for partitioning multivariate effects into uncontaminated blocks using visualizations. This approach simplifies multivariate analyses immensely, without oversimplifying the analysis.

1986 ◽  
Vol 9 (3) ◽  
pp. 297-313 ◽  
Author(s):  
Berit Hagekull ◽  
Gunilla Bohlin

The study sought answers to questions about the relative importance of perceptions of infant temperament and ongoing partner behavior in prediction of child and mother behavior in a standardized home interaction situation. Relationships between infant behavior and rated temperament were also assessed as well as interactive effects of sex and temperament on observed behaviors. A sample of 30 mothers and their 15-month-old infants were studied twice in their homes. Behaviors were classified in different categories (verbal, visual, touch, and motor) and as positive and negative actions. Maternal ratings of temperament in the Toddler Behavior Questionnaire (TBQ) were obtained. Bivariate correlational analyses showed several lawful associations between infant behavior and temperament ratings. An interactive effect of sex and the TBQ dimension of Intensity/Activity was found for child positive behavior. Multivariate analyses suggested the TBQ ratings of Manageability of the infant together with concurrent partner behavior to be the most important predictors of observed mother and infant activity.


Blood ◽  
2006 ◽  
Vol 108 (11) ◽  
pp. 3589-3589 ◽  
Author(s):  
James R. Berenson ◽  
Meletios A. Dimopoulos ◽  
Yin-Miao Chen

Abstract In untreated patients with multiple myeloma, elevated bone-specific alkaline phosphatase (BALP) levels have shown a significant association with bone pain, bone lesions, and pathologic fractures, and have been correlated with reduced survival (Fonseca R, et al. Br J Haemotol.2000;109:24–29). Zoledronic acid reduces the risk of skeletal morbidity and levels of biochemical markers of bone metabolism in patients with bone lesions from multiple myeloma. Zoledronic acid has also demonstrated antimyeloma effects in preclinical studies in vitro and in vivo using mice bearing human or mouse myeloma. Therefore, it is possible that zoledronic acid may not only prevent skeletal complications but also increase survival in patients with multiple myeloma. We conducted a retrospective exploratory analysis of patients with multiple myeloma and bone lesions as part of a large, randomized, controlled trial comparing infusions of zoledronic acid 4 mg and pamidronate 90 mg to assess the effect of zoledronic acid on survival based on baseline bone marker levels. In the overall population of patients with multiple myeloma (N=353), survival was comparable between groups. The subset of multiple myeloma patients who had information on baseline BALP levels were examined in these analyses (n=212; 4 mg zoledronic acid [n=109] or 90 mg pamidronate [n=103]). Patients received treatment for up to 24 months with a final assessment at 25 months. Risk of death was assessed in univariate and multivariate models using Cox regression methodology. Factors included in the multivariate analyses were prior skeletal-related events and baseline ECOG performance status. Among patients who had a baseline BALP assessment, zoledronic acid significantly increased the 25-month overall survival compared with pamidronate (76% versus 63%; P=.026). In the univariate and multivariate analyses, zoledronic acid significantly reduced the risk of death by approximately 42% compared with pamidronate (P=.03 for both). The subset of patients was then retrospectively stratified by baseline BALP levels according to the following criteria: low BALP (<146 U/L) and high BALP (≥146 U/L). Among patients who had low baseline BALP (n=123), 25-month survival was similar for both treatment groups. Although zoledronic acid reduced the risk of death in this subset by approximately 30% compared with pamidronate in the univariate and multivariate analyses, the between-group differences were not statistically significant (P>.2 for both). In contrast, among patients with high baseline BALP (n=89), zoledronic acid significantly improved survival compared with pamidronate (82% versus 53%; P=.041). Zoledronic acid significantly reduced the risk of death in this subset by approximately 56% compared with pamidronate in both the univariate and multivariate analyses (P<.05 for both). These exploratory analyses suggest that, in addition to its established benefits in preventing skeletal complications, zoledronic acid may improve survival compared with pamidronate in patients with multiple myeloma who have high BALP levels. Prospective trials are needed to investigate the improved survival in this subset; the high-BALP subset may have higher statistical power to distinguish between the 2 bisphosphonates (higher event rate), or these patients may still have coupled bone metabolism and better recovery after response to antiresorptive therapy.


Author(s):  
Luigi Fabbris ◽  
Manuela Scioni

Abstract In this paper, we study how to assign weights to a set of evaluations obtained at the end of an international mobility experience in order to aggregate them into a composite indicator. The mobility experience was evaluated by three categories of actor: the participant; the school or company sending the participant; and the school or company hosting the participant. We estimated the weights starting from the assessors’ mutual evaluations of the beneficiaries of the mobility experiences. In particular, the aim of the paper was to compare two strategies for estimating the weights: (1) a weighted function of the univariate rank distribution of frequencies; and (2) the normalised elements of the first eigenvector of the dominance matrix computed by mediating the actors’ dominance matrices derived from the rankings of mobility beneficiaries. Variants of the two strategies were also introduced. Even though each strategy had different assumptions, the analyses produced several important findings. First, the optimum weighting model depends on the loss function used to evaluate the quality of the results. In particular a between-ranking variability function favours both univariate and unweighted multivariate models, while a bias-based function favours weighted multivariate models. Second, in both univariate and multivariate analyses, the application of rank-order-centroid and rank-reciprocal rules give more accurate results than both linear and exponential rules.


Stroke ◽  
2014 ◽  
Vol 45 (suppl_1) ◽  
Author(s):  
David S Liebeskind ◽  
Nerses Sanossian ◽  
Fabien Scalzo ◽  
Bin Xiang ◽  
Mark S Johnson ◽  
...  

Background: CTA is often used to define clot location prior to endovascular therapy yet systematic evaluation may reveal many details about underlying pathophysiology. We tested a battery of CTA measures to identify optimal predictors of response to thrombectomy. Methods: CTA datasets of anterior circulation strokes in TREVO EU and TREVO2 with available source images were reconstructed into 3D-curved and 2D-orthogonal maximum-intensity projections by the core lab. Occlusion site, clot length and volume, clot burden score (CBS) and regional leptomeningeal collateral score (rLMC) were scored on CTA. Hyperdense vessels, Hounsfield Unit (HU) indices and location of hyperdensity relative to CTA occlusion site were noted on noncontrast CT. Results: 111 cases (mean age 68.0 ± 13.8 years; 58.6% women; median baseline NIHSS 18 (8-28)) were analyzed. CTA occlusions were 68.5% M1, 22.5% M2, and 9.0% ICA. CTA clot volumes were mean 49.3 ± 36.3 mm 3 with mean CBS 6.7 ± 1.8 and mean rLMC 15.3 ± 4.2. Noncontrast hyperdensity was noted at M1 in 44.1%, M2 in 27.0%, and ICA 8.1%, with ipsilateral:contralateral HU indices of mean 1.3 ± 0.2. Noncontrast CT hyperdensity relative to CTA opacification revealed hyperdensity proximal to occlusions in 2.7%, just past occlusion in 55.0%, and distal to clot end in 6.2%. Only better collaterals on rLMC predicted AOL 2-3 recanalization (OR 1.26, p=0.058) in multivariate analyses and distal hyperdensity (OR 0.11, p=0.037) predicted worse recanalization. Similarly, only rLMC predicted TICI 2b-3 reperfusion (OR 1.27, p=0.004) and distal hyperdensity (OR 0.12, p=0.071) predicted worse reperfusion. Clots (CBS) and collaterals (rLMC) were moderately correlated with each other (0.44 Spearman) in multivariate models of good clinical outcome (mRS 0-2) at day 90, yet clots were significant only when removing collaterals. Conclusions: Collaterals, not clots, are the best CTA predictors of outcomes after thrombectomy. Worse outcomes with hyperdensity distal to clots on CTA likely reflect stasis due to poor retrograde collaterals.


2016 ◽  
Vol 61 (13) ◽  
pp. 1455-1478 ◽  
Author(s):  
Stephen M. Haas ◽  
Douglas H. Spence

Core correctional practices (CCP) are an evidence-based approach that can improve the quality of the prison environment and enhance prisoner outcomes. CCP focus on increasing the effectiveness of treatment interventions as well as the therapeutic potential of relationships between prisoners and correctional staff. This study utilizes a new survey-based measurement tool to assess inmate perceptions of the quality of service delivery and level of adherence to CCP. It then examines the relationship between perceptions of CCP and prisoner’s preparedness for releasing using both bivariate and multivariate analyses. The results show that the perceptions of CCP are positively correlated with readiness for release and are the most powerful predictor of readiness for release in the multivariate models. Implications for the future operationalization of CCP and its role in prisoner reentry are discussed.


2019 ◽  
pp. 1-10 ◽  
Author(s):  
Ridwanul Amin ◽  
Magnus Helgesson ◽  
Bo Runeson ◽  
Petter Tinghög ◽  
Lars Mehlum ◽  
...  

Abstract Background Despite a reported high rate of mental disorders in refugees, scientific knowledge on their risk of suicide attempt and suicide is scarce. We aimed to investigate (1) the risk of suicide attempt and suicide in refugees in Sweden, according to their country of birth, compared with Swedish-born individuals and (2) to what extent time period effects, socio-demographics, labour market marginalisation (LMM) and morbidity explain these associations. Methods Three cohorts comprising the entire population of Sweden, 16–64 years at 31 December 1999, 2004 and 2009 (around 5 million each, of which 3.3–5.0% refugees), were followed for 4 years each through register linkage. Additionally, the 2004 cohort was followed for 9 years, to allow analyses by refugees' country of birth. Crude and multivariate hazard ratios (HRs) with 95% confidence intervals (CIs) were computed. The multivariate models were adjusted for socio-demographic, LMM and morbidity factors. Results In multivariate analyses, HRs regarding suicide attempt and suicide in refugees, compared with Swedish-born, ranged from 0.38–1.25 and 0.16–1.20 according to country of birth, respectively. Results were either non-significant or showed lower risks for refugees. Exceptions were refugees from Iran (HR 1.25; 95% CI 1.14–1.41) for suicide attempt. The risk for suicide attempt in refugees compared with the Swedish-born diminished slightly across time periods. Conclusions Refugees seem to be protected from suicide attempt and suicide relative to Swedish-born, which calls for more studies to disentangle underlying risk and protective factors.


Blood ◽  
2008 ◽  
Vol 112 (7) ◽  
pp. 2681-2686 ◽  
Author(s):  
Bart L. Scott ◽  
Denise A. Wells ◽  
Michael R. Loken ◽  
David Myerson ◽  
Wendy M. Leisenring ◽  
...  

Abstract A total of 152 patients with myelodysplastic syndrome (MDS) receiving a first stem cell transplant had marrow cells prospectively analyzed to calculate the flow cytometric scoring system (FCSS) score. The FCSS scores were retrospectively compared with patient outcomes in both univariate and multivariate models. The cumulative incidence of posttransplantation relapse at 3 years was 15%, 10%, and 36% for patients with mild, moderate, and severe FCSS scores, respectively, with the hazard for relapse of 2.8 (P = .02) for severe scores in comparison to patients with mild or normal FCSS scores. In multivariate analyses, the FCSS score was associated with relapse even after accounting for International Prognostic Scoring System (IPSS) score or for marrow myeloblast percentage. Among patients with intermediate-1 risk by IPSS, severe FCSS scores were associated with an increased hazard of relapse (3.8; P = .02) compared with patients with normal/mild/moderate FCSS scores. Among patients with less than 5% marrow myeloblasts, myeloblast dyspoiesis was associated with an increased hazard of relapse (3.7; P = .02). This analysis confirmed that FCSS scores are predictive of posttransplantation outcomes in patients with MDS even after adjusting for risk factors such as marrow myeloblast percentage and IPSS score.


GeroPsych ◽  
2019 ◽  
Vol 32 (1) ◽  
pp. 19-29 ◽  
Author(s):  
Monika Oedekoven ◽  
Katja Amin-Kotb ◽  
Paul Gellert ◽  
Klaus Balke ◽  
Adelheid Kuhlmey ◽  
...  

Abstract. We investigated the association between the education of informal caregivers’ (IC) and their physical and mental burden. We hypothesized that better-educated IC would have more resources available to manage the care situation and as a result show lower perceived burden. We conducted a population survey of 6,087 German residents aged 18+ years, 966 of whom reported to be IC. Results show that IC felt more often mentally than physically burdened. In the multivariate analyses, higher-educated IC did not have lower odds of feeling physically burdened than lower-educated IC, though they did have increased odds of feeling mentally burdened. The higher perceived mental burden of higher-educated IC may be related to fear of loss of self-fulfilment and autonomy. Support services should consider the mental burden of higher-educated IC and tailor their interventions accordingly.


2013 ◽  
Vol 27 (3) ◽  
pp. 142-148 ◽  
Author(s):  
Konstantinos Trochidis ◽  
Emmanuel Bigand

The combined interactions of mode and tempo on emotional responses to music were investigated using both self-reports and electroencephalogram (EEG) activity. A musical excerpt was performed in three different modes and tempi. Participants rated the emotional content of the resulting nine stimuli and their EEG activity was recorded. Musical modes influence the valence of emotion with major mode being evaluated happier and more serene, than minor and locrian modes. In EEG frontal activity, major mode was associated with an increased alpha activation in the left hemisphere compared to minor and locrian modes, which, in turn, induced increased activation in the right hemisphere. The tempo modulates the arousal value of emotion with faster tempi associated with stronger feeling of happiness and anger and this effect is associated in EEG with an increase of frontal activation in the left hemisphere. By contrast, slow tempo induced decreased frontal activation in the left hemisphere. Some interactive effects were found between mode and tempo: An increase of tempo modulated the emotion differently depending on the mode of the piece.


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