Relationship between oral stereognostic ability and dietary intake in older Japanese adults with complete dentures.

PURPOSE: Oral stereognostic ability (OSA) is a useful indicator of oral perception to recognize food characteristics during mastication. Previous studies have shown associations between dietary intake and oral health status, such as taste perception. However, the effect of oral sensory ability on dietary intake is unclear. The purpose of this study was to investigate the association between oral sensory ability and dietary intake in older Japanese complete denture wearers. METHODS: This cross-sectional study included 164 participants aged 69-71 or 79-81years old, wearing both maxillary and mandibular complete dentures. OSA test was used to evaluate oral tactile perception. Diet during the preceding month was assessed using a self-administered diet history questionnaire. Multivariable linear regression analysis was conducted to assess the association between OSA score and food and nutrient intake after adjusting for age, sex, socioeconomic factors, and occlusal force. RESULTS: The bivariate analysis showed that OSA score was significantly and positively correlated with intake of green and yellow vegetables and negatively correlated with intake of cereals among examined foods. OSA score was also positively correlated with intake of vitamins A, B2, and C and α-tocopherol (as a substitute for vitamin E) among examined nutrients. After adjusting for age, sex, socioeconomic factors, and occlusal force, OSA score remained significantly associated with intake of green and yellow vegetables and α-tocopherol. CONCLUSIONS: OSA was significantly associated with intake of green and yellow vegetables in older complete denture wearers.

The Sydney Centenarian Study: methodology and profile of centenarians and near-centenarians.

BACKGROUND: The study of exceptionally long-living individuals can inform us about the determinants of successful aging. There are few population-based studies of centenarians and near-centenarians internationally, but none in Australia. METHODS: Individuals 95 years and older were recruited from seven electoral districts in Sydney using the electoral roll, Medicare lists, and multiple other strategies to obtain a representative sample. Physical and mental health and cognitive status were assessed using standard instruments in multiple sessions, with assessments individually adapted. An informant was interviewed, and participants were invited to donate a blood sample, undergo an MRI scan, and enrol into the brain donation program. RESULTS: Preliminary data on the first 200 participants are reported. Mean age was 97.4 years (range 95-106), with 29.5% being men, and 58.5% living in a private dwelling. Rates of heart disease and diabetes were lower than in octogenarians, but hearing and visual deficits were common. The mean mini-mental state examination (MMSE) score was 21.1, with men performing better. Rates of psychological distress were low and satisfaction with life high (mean 5.91 out of a maximum of 7); 54% scored <24 on MMSE; 39.5% were impaired on both MMSE and a functional measure; and 20% had previous diagnosis of dementia. CONCLUSIONS: This is a preliminary report describing the methodology of the study. It provides further evidence that dementia is not inevitable at this age and independent living is common. The study provides an excellent resource to determine the genetic and environmental contributions to long and successful cognitive aging.

[Chronological evaluation of physical, psychological and social health of urban elderly dwellers over 6 years and assessment of causal inter-relationships].

OBJECTIVES: The purpose of this study is to make a chronological evaluation over 6 years of physical, psychological and social health of urban elderly dwellers. METHODS: A questionnaire survey was conducted with all urban elderly dwellers of 65 years old or more in A City in September, 2001. Answers were obtained from 13,195 people (response rate of 80.2%) in the first survey. Then 3 year and 6 year follow-up surveys of 2,375 members were performed in September 2004 and 2007. Causal relationships were analyzed using a Structural Equation Model based on the Cross-Lagged Effects Variation Model. RESULTS: According to this research, a chronological six year trend in ADL (Activities of Daily Living) was found for "physical factor" (" " means latent variable) as an observed variable, with a shifted from 91.0% to 82.9%. A trend for self-rated health with healthy as an observed variable of "psychological factor" was similarly apparent, shifting from 85.4% to 77.0%. "Social factor" conducted on the follow-up survey in 2007 was significantly affected by the "psychological factor" investigated in 2001 and "physical factor" in the follow-up survey in 2004, indirectly based on the Cross-Lagged Effects Variation Model. "Social factor" totals of 25% for men and 19% for women were explained by this model with high validity levels (NFI = 0.935, IFI = 0.950, RMSEA = 0.036). CONCLUSION: It was suggested that social health was affected by psychological health directly and physical health indirectly during six years follow-up of urban elderly dwellers. Future research is needed to encompass other generations and also to improve the external validity of the results.

Factors associated with reaching 90 years of age: a study of men born in 1913 in Gothenburg, Sweden.

OBJECTIVES: Increasing numbers of people reach old age. We wanted to identify variables of importance for reaching 90 years old and determine how the predictive ability of these variables might change over time. SETTING AND SUBJECTS: All men in the city of Gothenburg born in 1913 on dates divisible by 3, which is on the 3rd, 6th, 9th etc., were included in the study. Thus, 973 men were invited, and 855 were examined in 1963 at age 50. Further examinations were made at age 54, 60 and 67. Anthropometric data, lifestyle and parental factors, blood pressure, lung function, X-ray of heart and lungs and maximum work performance were recorded. The area under the receiver operating characteristic curve was used to analyse the predictive capacity of a variable. RESULTS: A total of 111 men (13%) reached 90 years of age, men who reached 90 years were more likely at age 50 to be nonsmokers, consume less coffee, have higher socio-economic status and have low serum cholesterol levels than those who did not reach this age; however, at age 50 or 62, parents' survival was of no prognostic importance. Variables of greatest importance at higher ages were low blood pressure and measures related to good cardiorespiratory function. In multivariable analysis, including all examinations, being a nonsmoker, consuming small amounts of coffee, having high housing costs at age 50, good maximum working capacity and low serum cholesterol were related to a better chance of survival to age 90. CONCLUSIONS: Low levels of cardiovascular risk factors, high socio-economic status and good functional capacity, irrespective of parents' survival, characterize men destined to reach the age of 90.

[Assessment of compliance for oral medicines with MMSE, Mini-Mental State Examination, in hospitalized elderly patients].

The minimental state examination (MMSE) is a widely used, standardized method to assess cognitive function including movement-related disorders with high reliability. We studied the relationship between MMSE scores and the ability to take oral medications correctly (ingestion compliance) in 70 elderly inpatients (mean age 71.3+/-7.0 years). Patients with abnormal glucose tolerance as determined by an HbA(1c) level of 5.8% or greater including diabetes showed a trend of lower MMSE scores compared with patients with normal glucose tolerance, and the scores were negatively correlated with HbA1c, age, and systolic blood pressure (P<0.05). Self-management in taking oral medications was very difficult in 4 patients whose MMSE scores were 21 points or less. Thus ingestion supervisions by nurses were required in these patients. Furthermore, 9 of 12 noncompliant patients had MMSE scores ranging from 22 to 26 points. We instructed these patients to take medications in a one-dose package as a useful tool to improve compliance. The MMSE score was 27 or higher in 44 of 54 compliant patients, and 10 patients had scores ranging from 21 to 26. The sensitivity and specificity for noncompliance at an MMSE score cut-off point of 26 were 75.0% and 81.5%, respectively. In conclusion, it is necessary to coordinate ingestion methods matched to each patient according to their abilities to comply with medication schedules. They should be preevaluated with the MMSE to improve ingestion compliance. The MMSE is a recommended test in hospitalized elderly patients for the assessment of the ability to take medications safely.

The Newcastle 85+ study: biological, clinical and psychosocial factors associated with healthy ageing: study protocol.

BACKGROUND: The UK, like other developed countries, is experiencing a marked change in the age structure of its population characterised by increasing life expectancy and continuing growth in the older fraction of the population. There is remarkably little up-to-date information about the health of the oldest old (over 85 years), demographically the fastest growing section of the population. There is a need, from both a policy and scientific perspective, to describe in detail the health status of this population and the factors that influence individual health trajectories. For a very large proportion of medical conditions, age is the single largest risk factor. Gaining new knowledge about why aged cells and tissues are more vulnerable to pathology is likely to catalyse radical new insights and opportunities to intervene. The aims of the Newcastle 85+ Study are to expose the spectrum of health within an inception cohort of 800 85 year-olds; to examine health trajectories and outcomes as the cohort ages and their associations with underlying biological, medical and social factors; and to advance understanding of the biological nature of ageing. METHODS: A cohort of 800 85 year olds from Newcastle and North Tyneside will be recruited at baseline and followed until the last participant has died. Eligible individuals will be all those who turn 85 during the year 2006 (i.e. born in 1921) and who are registered with a Newcastle or North Tyneside general practice. Participants will be visited in their current residence (own home or institution) by a research nurse at baseline, 18 months and 36 months. The assessment protocol entails a detailed multi-dimensional health assessment together with review of general practice medical records. Participants will be flagged with the NHS Central Register to provide details of the date and cause of death. DISCUSSION: The Newcastle 85+ Study will address key questions about health and health-maintenance in the 85+ population, with a particular focus on quantitative assessment of factors underlying variability in health, and on the relationships between health, nutrition and biological markers of the fundamental processes of ageing.

Walking while talking: effect of task prioritization in the elderly.

OBJECTIVE: To examine the effect of 2 instructions on the same walking while talking (WWT) task on task prioritization by nondisabled subjects. DESIGN: Cross-sectional survey with within subject comparisons. SETTING: Community-based sample. PARTICIPANTS: Older adults (N=189; mean age, 80.2+/-4.9y), who did not meet criteria from the Diagnostic and Statistical Manual, Fourth Edition, for dementia and were able to independently perform activities of daily living. INTERVENTIONS: Not applicable. MAIN OUTCOME MEASURES: Verbal and gait measures on the same WWT task with 2 different instructions: paying attention to both talking and walking (WWT-C) and paying attention only to talking (WWT-T). RESULTS: Task prioritization effects were seen on walking but not on talking. Compared with their baseline normal walking velocity (without talking), subjects slowed down more on WWT-T (median change, 28.3%) than WWT-C (median change, 26.4%). Comparing the 2 WWT conditions, velocity and cadence was slower during WWT-T compared with WWT-C, with longer stride length. Verbal output was not significantly different on the 2 conditions. CONCLUSIONS: Changing instructions while maintaining the same cognitive and motor tasks on WWT in older adults result in task prioritization effects.

Palliative care as a framework for older people's long-term care.

This article draws on the findings from several years of research on the health problems, quality of life and care of older people, especially during the later years of life, and argues that there is a need to develop and provide care according to the principles of palliative care. The findings indicate that palliative care, including a focus on symptom management, psychosocial and existential issues, may be appropriate for the long-term care of older or very old people - not just those at the very end of life. However, the way that palliative care is provided to older people at the very end of life needs to be adjusted. It should be adapted to the situation that accompanies advanced age and having lived a long life. It should recognize that symptom management ought to address clusters of health complaints rather than isolated symptoms, bodily changes and how they are perceived. Palliative care for older people should also take into consideration the importance of the social network as well as common fears of dying and the very essence of death, and fear of being separated from one's loved ones and the activities valued in life.

The old-old-old.

Geriatricians have long distinguished aging from disease. Yet the separation of these two processes and these in turn from the effects of the environment is most difficult. Therefore, as the possibility of manipulating the aging process is considered, what the elder of tomorrow will look like can only be speculated about. Might it be possible to alter the effect of aging on one organ system and not others? Should we be stating that disease appears a certain number of years before the end of life rather than noting its onset from the moment of birth? If the phenomenon of aging can be manipulated, the distinction between aging and disease may become increasingly difficult except for conditions clearly caused by an infectious agent or an environmental toxin.

Implementation of functional assessment scales in geriatric practice: a feasibility study.

AIM: A study was undertaken to evaluate the feasibility of functional assessment scales regarding completion rate and ability to document functional changes in geriatric rehabilitation patients. METHODS: Five functional assessment scales were implemented, and used on admission and discharge as part of standard care. RESULTS: Of 2,812 patients, 90 patients (3.2%) had no scales administered, 2,330 patients (82.9%) had between one and six scales administered and 392 (13.9%) had a complete data set (seven scales). The percentage of inpatients who were independent or almost independent in basic ADL functions improved from 30% to 60% during hospitalization; 53% had cognitive impairment, while 19% expressed depressive thoughts or depression on admission. CONCLUSION: Functional assessment scales were feasible in the clinical routine, gave important information on patients' functional status at baseline, and showed that patients improved their physical function considerably during hospitalization. Interdisciplinary teamwork and management affect the success of the implementation of assessment scales.

Comprehensive health status assessment of centenarians: results from the 1999 large health survey of veteran enrollees.

BACKGROUND: Information on the health status of centenarians provides a means for understanding the health care needs of this growing population. Therefore, we examined the health status of a national cohort of centenarian veteran enrollees. METHODS: Ninety-three centenarian veteran enrollees returned a complete health history questionnaire, which included questions about sociodemographic information, age-associated conditions, health behaviors, health-related quality of life as measured by the Veterans SF-36, and change in health status. RESULTS: Centenarian veteran enrollees are a group with major impairment across multiple dimensions of health-related quality of life despite having a relatively low prevalence of diseases. They had considerable physical limitations as reflected by their physical health summary scores (26.2 +/- 8.3). However, their mental health was comparatively good (mental health summary score 44.1 +/- 12.5). Compared to younger elderly veterans (ages 85-99), centenarians had a lower prevalence of hypertension, angina or myocardial infarction, diabetes, and chronic low back pain (p <.05). Centenarians had significantly worse physical functioning, role physical, vitality, and social functioning scores than did younger elderly veterans. The two groups did not differ in their general health, bodily pain, role emotional, and mental health scores. Centenarians did not perceive much decline in their physical or mental health during the preceding year. CONCLUSIONS: Centenarian veteran enrollees are a group with a low number of age-associated diseases and good mental health despite substantial physical limitations. These results support future studies of services directed toward improvement of function as opposed to those focused solely on the treatment of diseases.

Assessment and management of the geriatric patient.

OBJECTIVE: To describe the potential critical care problems that arise as a result of aging and to identify some of the methods that may be used to minimize these problems. DATA SYNTHESIS: The population of the United States is aging. This is reflected in the age of our surgical patients. Aging is associated with myriad physiologic changes and an increased susceptibility to disease, all of which renders older patient more susceptible to the negative sequela of anesthetic and surgical stress. Minimizing the effects of aging begins preoperatively by assessing the impact of these changes on the individual patient. Once deficits are identified, efforts can be made to correct what is correctable preoperatively and to address what is not by designing an intra- and postoperative plan that limits additional stress to the compromised system. Although good data regarding optimal perioperative management of the elderly patient are presently lacking, awareness of the areas of potential vulnerability allows the anesthesiologist and surgeon to design their treatment plans with these limitations in mind. CONCLUSION: By identifying the limitations imposed by aging, critical care problems in elderly patients can be anticipated and addressed, and surgical outcomes can be improved.

[Combined tests to measure functional capability in elderly people].

BACKGROUND: Several diagnostic tests and questionnaires on the health and functional status of elderly people are used in the clinical practice. The evaluation procedures are geared to determine function and health issues distinct from that of the quality of life. The use of broad assessment complex protocols may be unrealistic, false or impractical. OBJECTIVES: The aims of the study were: a) to explore the relationship between a subjects perception and two functional tests, and b) to measure if Tinetti balance test and Berg balance test provide similar results. METHODS: Four common evaluation procedures were used prior and following 12 weeks of balance and exercise training: two are considered as objective tests (Tinetti and Berg), and two are considered as subjective questionnaires (Short-Form Health Survey--SF-36 and self satisfaction questionnaires). The procedures were applied to 38 independent elderly residents (aged 79 +/- 3.4) who live in a nursing home. RESULTS: Intraclass correlation coefficients were calculated to measure the reliability for the self-assessment of subjects who reported as "no change" "improvement" or as "worse". Pearson correlation coefficient was used to investigate the correlation between the tests. The self-assessed report differed from the clinical outcome tests. In the self-assessment questionnaire two subjects rated "worse" whereas no deterioration was noticed in Tinetti and Berg tests. Moreover, after 12 weeks of balance training, using a self-rated questionnaire, 7 subjects reported "no change", and in the clinical tests 13 subjects showed "no change". CONCLUSIONS: The combined test of Tinetti and SF-36 can provide an improved picture of the functional capability and perception in elderly persons in nursing homes.

Association of dental status with blood pressure and heart rate in 80-year-old Japanese subjects.

Periodontal disease is one of the main reasons for the loss of teeth in elderly subjects, and it has been reported that periodontal disease is a potential risk factor for cardiovascular disease. However, little data is available regarding the association between dental status and blood pressure or heart rate in elderly individuals, particularly in subjects over 80 years old. We studied the cross-sectional association between dental status and blood pressure or heart rate in 499 Japanese (195 men and 304 women) who were 80 years old. The subjects were divided into 4 groups according to the number of original teeth; ie, edentulous (n = 176), 1 to 9 teeth (n = 141), 10 to 19 teeth (n = 109), and more than 20 teeth (n = 73). Mean systolic and diastolic blood pressures did not differ among the groups. However, heart rate decreased from 71.6 and 72.2 /min in the edentulous and I to 9 teeth groups, respectively, to 67.3 and 67.4 /min in the 10 to 19 teeth and more than 20 teeth groups, respectively (test for trend, P = 0.0008). In multiple regression analysis, the inverse association between the number of teeth and heart rate was statistically significant independently of other confounding factors. These results are the first to show a close inverse relationship between the number of teeth and heart rate in octogenariars, although the underlying mechanisms have not been determined.

Healthy centenarians do not exist, but autonomous centenarians do: a population-based study of morbidity among Danish centenarians.

OBJECTIVE: To assess the prevalence of common illnesses in an unselected population of centenarians. DESIGN: A population-based survey. SETTING: Denmark. PARTICIPANTS: All Danes who celebrated their 100th anniversary between April 1, 1995 and May 31, 1996: 276 persons. MEASUREMENTS: All participants (including proxies) were visited at their domicile for an interview (sociodemographic characteristics, activities of daily living, living conditions, need of assistance from other people, former health and current diseases, current medication) and a clinical examination (dementia screening test, heart and lung auscultation, neurological assessment, height and weight, electrocardiogram, arm and ankle blood pressure, assessment of hearing and vision capacity, a short physical performance test, bio-impedance, lung function test, blood test). Further health information was retrieved from medical files and national health registers. RESULTS: Seventy-five percent (207) of eligible subjects participated in the study. Cardiovascular disease was present in 149 (72%) subjects. Osteoarthritis (major joints) was present in 54%, hypertension (> or =140/ > or =90) in 52%, dementia in 51%, and ischemic heart disease in 28%. The mean number of illness was 4.3 (standard deviation (SD) 1.86). Only one subject was identified as being free from any chronic condition or illness. Sixty percent had been treated for illness with high mortality. In 25 autonomous (nondemented, functioning well physically, living at home) and 182 nonautonomous centenarians, comorbidities were equivalent. CONCLUSION: Because they have a high prevalence of several common diseases and chronic conditions, Danish centenarians are not healthy. However, a minor proportion was identified as being cognitively intact and functioning well.

Hematopoietic growth factors in the older cancer patient.

Aging is associated with a progressive decline in the functional reserve of multiple organ systems, which may lead to enhanced susceptibility to stress such as that caused by cancer chemotherapy. Myelodepression is the most common and the most commonly fatal complication of antineoplastic drug therapy and may represent a serious hindrance to the management of cancer in older individuals. This is already a common and pervasive problem and promises to become more so. Currently 60% of all neoplasms occur in persons aged 65 years and older, and this percentage is expected to increase as the population ages. This well-known phenomenon, sometimes referred to as squaring or the age pyramid, is caused by the combination of an increasing life expectancy and a decreasing birth rate. This article explores the use of hematopoietic growth factors in the older cancer patient after reviewing the influence of age on hemopoiesis and chemotherapy-related complications. The issue is examined in terms of effectiveness and cost. An outline of the assessment of the older cancer patient is provided at the end of the chapter as a frame of reference for clinical decisions.

Development of an exercise self-efficacy questionnaire for older Mexican American women.

The purpose of this study was to develop a reliable and culturally meaningful exercise self-efficacy questionnaire for older Mexican American women. Items were derived from a 5-item exercise self-efficacy instrument (Laffrey, 2000; Marcus, Selby, Niaura, & Rossi, 1992) and from focus groups with women in the target population. Content validity of the Spanish-language items was supported by three Mexican American professional women and by five Mexican American nurses. A factor analysis of the 11-item questionnaire revealed one major factor. Internal consistency was shown by an alpha reliability coefficient of .86. Item:corrected scale correlation coefficients ranged from .30 to .70. The mean exercise self-efficacy score was significantly higher for 38 regular exercisers than for 37 non-exercisers. The exercise self-efficacy questionnaire can be used in research with older Mexican American women and should be tested with men and with younger men and women to explore its usefulness with these populations.

Resting energy expenditure, activity energy expenditure and total energy expenditure at age 91-96 years.

There is a limited knowledge concerning energy requirements of the elderly, especially the oldest old (> 80 years). Energy requirements should be estimated from measurements of energy expenditure. For this purpose twenty-one free-living individuals (eight males, thirteen females) aged 91-96 years living in Göteborg, Sweden were studied. Total body water (TBW) measured by the doubly-labelled-water (DLW) technique was 29.5 (sd 5.4) kg in females and 35.6 (sd 4.3) kg in males. TBW measured using bioelectric impedance (BIA) was 31.6 (sd 6.4) kg in females and 42.0 (sd 7.4) kg in males. The mean difference between TBW measured by BIA and that measured by DLW was 3.54 (sd 3.6) kg (P = 0.0002). Resting metabolic rate (RMR) was measured using a ventilated-hood system and averaged 5.36 (sd 0.71) MJ/d in females (n 12) and 6.09 (sd 0.91) MJ/d in males (n 8). Difference between measured RMR and predicted BMR (n 20) was 0.015 (sd 0.86) MJ/d (NS). Total energy expenditure (TEE) measured by DLW averaged 6.3 (sd 0.81) MJ/d in females and 8.1 (sd 0.73) MJ/d in males. Activity energy expenditure (TEE - RMR), thus including diet-induced thermogenesis (DIT), averaged 0.95 (sd 0.95) MJ/d in females (n 12) and 2.02 (sd 1.13) MJ/d in males. Physical activity level (TEE/BMR) averaged 1.19 (sd 0. 19) in females and 1.36 (sd 0.21) (P = 0.08) in males. If DIT is assumed to be 10 % of the TEE, energy spent on physical activity will be very low in this population.

Body fat and skeletal muscle mass in relation to physical disability in very old men and women of the Framingham Heart Study.

BACKGROUND: Low muscle mass has been assumed to be associated with disability, but no studies confirming this association have been published. High body weight and high body mass index, both rough indicators of body fatness, have been shown to increase the risk for disability; however, the specific role of body fatness has not been studied. METHODS: The relations of skeletal muscle mass and percent body fat with self-reported physical disability were studied in 753 men and women aged 72 to 95 years. Cross-sectional data from biennial examination 22 (1992-1993) of the Framingham Heart Study were used. Body composition was assessed by dual-energy x-ray absorptiometry. Disability was scored as any versus none on a 9-item questionnaire. RESULTS: Total body and lower extremity muscle mass were not associated with disability in either men or women. However, a strong positive association between percent body fat and disability was observed. The odds ratio for disability in those in the highest tertile of body fatness was 2.69 (95% confidence interval 1.45-5.00) for women and 3.08 (1.22-7.81) for men compared to those in the lowest tertile. The increased risk could not be explained by age, education, physical activity, smoking, alcohol use, estrogen use (women only), muscle mass, and health status. Analyses restricting disability to mobility items gave similar results. CONCLUSIONS: In contrast to current assumptions, low skeletal muscle mass was not associated with self-reported physical disability. Persons with a high percent body fat had high levels of disability. Because it cannot be ruled out that persons with low skeletal muscle mass dropped out earlier in the study, prospective studies are needed to further assess the relationship between body composition and physical disability.

The interaction of physical, psychological, socioeconomic and sociodemographic variables on the Body Mass Index (MINDEX) of the community-dwelling elderly.

Two cohorts of older people 65-74, and 75 or more years of age living at home in Nottingham or in a nearby rural area in the UK were interviewed and anthropometric measurements were taken (n=1037). Bivariate analyses showed significant relationships between mindex and variables previously associated with food choice. Those with a mindex above the 95th percentile were more likely to live in a rural area, and were less likely to smoke than those between the 5th and 95th percentiles. Those with a low mindex, below the 5th percentile, were more likely to smoke than those between the 5th and 95th percentiles (45% compared to 17%), and were also more likely to live in an urban area, to have difficulty carrying shopping bags, not to use a car for shopping, to have a poorer appetite, and to live alone. Those overweight and underweight had lower levels of social engagement and were more likely to be of a lower social class. In multivariate analysis, socioeconomic variables and psychosocial variables were not significantly associated with mindex, when controlling for physical and sociodemographic variables. Advancing age, female gender, smoking and decreased appetite were significantly associated with decreased mindex (Adjusted R2 = .168).